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Finding the Fourth Proportional to 2,471.08, 3,707.58 and 1,497.88

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Solution

The fourth proportional to 2,471.08, 3,707.58 and 1,497.88 is: 2,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.08 : 3,707.58 = 1,497.88 : x
  2. Step 2: Convert to fraction form
    2,471.08/3,707.58 = 1,497.88/x
  3. Step 3: Cross multiply
    2,471.08x = 3,707.58 × 1,497.88
  4. Step 4: Simplify right side
    2,471.08x = 5,553,509.93
  5. Step 5: Solve for x
    x = 5,553,509.93/2,471.08
  6. Step 6: Final answer
    x = 2,247.40

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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.