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Finding the Fourth Proportional to 2,425.70, 3,345.57 and 2,053.70

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Solution

The fourth proportional to 2,425.70, 3,345.57 and 2,053.70 is: 2,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.70 : 3,345.57 = 2,053.70 : x
  2. Step 2: Convert to fraction form
    2,425.70/3,345.57 = 2,053.70/x
  3. Step 3: Cross multiply
    2,425.70x = 3,345.57 × 2,053.70
  4. Step 4: Simplify right side
    2,425.70x = 6,870,797.11
  5. Step 5: Solve for x
    x = 6,870,797.11/2,425.70
  6. Step 6: Final answer
    x = 2,832.50

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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.