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Finding the Fourth Proportional to 1,432.06, 2,148.10 and 701.44

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Solution

The fourth proportional to 1,432.06, 2,148.10 and 701.44 is: 1,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.06 : 2,148.10 = 701.44 : x
  2. Step 2: Convert to fraction form
    1,432.06/2,148.10 = 701.44/x
  3. Step 3: Cross multiply
    1,432.06x = 2,148.10 × 701.44
  4. Step 4: Simplify right side
    1,432.06x = 1,506,756.14
  5. Step 5: Solve for x
    x = 1,506,756.14/1,432.06
  6. Step 6: Final answer
    x = 1,052.16

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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.