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Finding the Fourth Proportional to 1,827.29, 2,740.62 and 657.09

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Solution

The fourth proportional to 1,827.29, 2,740.62 and 657.09 is: 985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.29 : 2,740.62 = 657.09 : x
  2. Step 2: Convert to fraction form
    1,827.29/2,740.62 = 657.09/x
  3. Step 3: Cross multiply
    1,827.29x = 2,740.62 × 657.09
  4. Step 4: Simplify right side
    1,827.29x = 1,800,834.00
  5. Step 5: Solve for x
    x = 1,800,834.00/1,827.29
  6. Step 6: Final answer
    x = 985.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.