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Finding the Fourth Proportional to 2,715.92, 3,746.52 and 1,654

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Solution

The fourth proportional to 2,715.92, 3,746.52 and 1,654 is: 2,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.92 : 3,746.52 = 1,654 : x
  2. Step 2: Convert to fraction form
    2,715.92/3,746.52 = 1,654/x
  3. Step 3: Cross multiply
    2,715.92x = 3,746.52 × 1,654
  4. Step 4: Simplify right side
    2,715.92x = 6,196,744.08
  5. Step 5: Solve for x
    x = 6,196,744.08/2,715.92
  6. Step 6: Final answer
    x = 2,281.64

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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.