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Finding the Fourth Proportional to 1,748.52, 2,615.58 and 1,601.16

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Solution

The fourth proportional to 1,748.52, 2,615.58 and 1,601.16 is: 2,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.52 : 2,615.58 = 1,601.16 : x
  2. Step 2: Convert to fraction form
    1,748.52/2,615.58 = 1,601.16/x
  3. Step 3: Cross multiply
    1,748.52x = 2,615.58 × 1,601.16
  4. Step 4: Simplify right side
    1,748.52x = 4,187,962.07
  5. Step 5: Solve for x
    x = 4,187,962.07/1,748.52
  6. Step 6: Final answer
    x = 2,395.15

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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.