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Finding the Fourth Proportional to 2,703.72, 3,730.86 and 1,569

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Solution

The fourth proportional to 2,703.72, 3,730.86 and 1,569 is: 2,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.72 : 3,730.86 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,703.72/3,730.86 = 1,569/x
  3. Step 3: Cross multiply
    2,703.72x = 3,730.86 × 1,569
  4. Step 4: Simplify right side
    2,703.72x = 5,853,719.34
  5. Step 5: Solve for x
    x = 5,853,719.34/2,703.72
  6. Step 6: Final answer
    x = 2,165.06

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