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Finding the Fourth Proportional to 2,432.06, 3,648.14 and 700.70

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Solution

The fourth proportional to 2,432.06, 3,648.14 and 700.70 is: 1,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.06 : 3,648.14 = 700.70 : x
  2. Step 2: Convert to fraction form
    2,432.06/3,648.14 = 700.70/x
  3. Step 3: Cross multiply
    2,432.06x = 3,648.14 × 700.70
  4. Step 4: Simplify right side
    2,432.06x = 2,556,251.70
  5. Step 5: Solve for x
    x = 2,556,251.70/2,432.06
  6. Step 6: Final answer
    x = 1,051.06

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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.