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Finding the Fourth Proportional to 1,700.76, 2,345.58 and 1,527.96

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Solution

The fourth proportional to 1,700.76, 2,345.58 and 1,527.96 is: 2,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.76 : 2,345.58 = 1,527.96 : x
  2. Step 2: Convert to fraction form
    1,700.76/2,345.58 = 1,527.96/x
  3. Step 3: Cross multiply
    1,700.76x = 2,345.58 × 1,527.96
  4. Step 4: Simplify right side
    1,700.76x = 3,583,952.42
  5. Step 5: Solve for x
    x = 3,583,952.42/1,700.76
  6. Step 6: Final answer
    x = 2,107.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.