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Finding the Fourth Proportional to 2,652.18, 3,970.92 and 1,347.24

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Solution

The fourth proportional to 2,652.18, 3,970.92 and 1,347.24 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.18 : 3,970.92 = 1,347.24 : x
  2. Step 2: Convert to fraction form
    2,652.18/3,970.92 = 1,347.24/x
  3. Step 3: Cross multiply
    2,652.18x = 3,970.92 × 1,347.24
  4. Step 4: Simplify right side
    2,652.18x = 5,349,782.26
  5. Step 5: Solve for x
    x = 5,349,782.26/2,652.18
  6. Step 6: Final answer
    x = 2,017.13

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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.