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Finding the Fourth Proportional to 2,572.95, 3,865.59 and 1,650.31

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Solution

The fourth proportional to 2,572.95, 3,865.59 and 1,650.31 is: 2,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.95 : 3,865.59 = 1,650.31 : x
  2. Step 2: Convert to fraction form
    2,572.95/3,865.59 = 1,650.31/x
  3. Step 3: Cross multiply
    2,572.95x = 3,865.59 × 1,650.31
  4. Step 4: Simplify right side
    2,572.95x = 6,379,412.17
  5. Step 5: Solve for x
    x = 6,379,412.17/2,572.95
  6. Step 6: Final answer
    x = 2,479.41

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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.