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Finding the Fourth Proportional to 1,825.07, 2,737.49 and 714.29

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Solution

The fourth proportional to 1,825.07, 2,737.49 and 714.29 is: 1,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.07 : 2,737.49 = 714.29 : x
  2. Step 2: Convert to fraction form
    1,825.07/2,737.49 = 714.29/x
  3. Step 3: Cross multiply
    1,825.07x = 2,737.49 × 714.29
  4. Step 4: Simplify right side
    1,825.07x = 1,955,344.47
  5. Step 5: Solve for x
    x = 1,955,344.47/1,825.07
  6. Step 6: Final answer
    x = 1,071.38

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