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Finding the Fourth Proportional to 2,634.52, 3,637.20 and 1,752.16

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Solution

The fourth proportional to 2,634.52, 3,637.20 and 1,752.16 is: 2,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.52 : 3,637.20 = 1,752.16 : x
  2. Step 2: Convert to fraction form
    2,634.52/3,637.20 = 1,752.16/x
  3. Step 3: Cross multiply
    2,634.52x = 3,637.20 × 1,752.16
  4. Step 4: Simplify right side
    2,634.52x = 6,372,956.35
  5. Step 5: Solve for x
    x = 6,372,956.35/2,634.52
  6. Step 6: Final answer
    x = 2,419.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.