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Finding the Fourth Proportional to 2,385.65, 3,572.30 and 1,647.54

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Solution

The fourth proportional to 2,385.65, 3,572.30 and 1,647.54 is: 2,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.65 : 3,572.30 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    2,385.65/3,572.30 = 1,647.54/x
  3. Step 3: Cross multiply
    2,385.65x = 3,572.30 × 1,647.54
  4. Step 4: Simplify right side
    2,385.65x = 5,885,498.90
  5. Step 5: Solve for x
    x = 5,885,498.90/2,385.65
  6. Step 6: Final answer
    x = 2,467.05

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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.