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Finding the Fourth Proportional to 2,472.65, 3,705.14 and 1,647.93

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Solution

The fourth proportional to 2,472.65, 3,705.14 and 1,647.93 is: 2,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.65 : 3,705.14 = 1,647.93 : x
  2. Step 2: Convert to fraction form
    2,472.65/3,705.14 = 1,647.93/x
  3. Step 3: Cross multiply
    2,472.65x = 3,705.14 × 1,647.93
  4. Step 4: Simplify right side
    2,472.65x = 6,105,803.12
  5. Step 5: Solve for x
    x = 6,105,803.12/2,472.65
  6. Step 6: Final answer
    x = 2,469.34

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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.