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Finding the Fourth Proportional to 1,748.37, 2,410.52 and 1,432.47

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Solution

The fourth proportional to 1,748.37, 2,410.52 and 1,432.47 is: 1,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.37 : 2,410.52 = 1,432.47 : x
  2. Step 2: Convert to fraction form
    1,748.37/2,410.52 = 1,432.47/x
  3. Step 3: Cross multiply
    1,748.37x = 2,410.52 × 1,432.47
  4. Step 4: Simplify right side
    1,748.37x = 3,452,990.42
  5. Step 5: Solve for x
    x = 3,452,990.42/1,748.37
  6. Step 6: Final answer
    x = 1,974.98

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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.