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Finding the Fourth Proportional to 2,705.07, 3,732.92 and 1,526.07

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Solution

The fourth proportional to 2,705.07, 3,732.92 and 1,526.07 is: 2,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.07 : 3,732.92 = 1,526.07 : x
  2. Step 2: Convert to fraction form
    2,705.07/3,732.92 = 1,526.07/x
  3. Step 3: Cross multiply
    2,705.07x = 3,732.92 × 1,526.07
  4. Step 4: Simplify right side
    2,705.07x = 5,696,689.59
  5. Step 5: Solve for x
    x = 5,696,689.59/2,705.07
  6. Step 6: Final answer
    x = 2,105.93

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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.