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Finding the Fourth Proportional to 3,148.98, 4,719 and 2,320.74

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Solution

The fourth proportional to 3,148.98, 4,719 and 2,320.74 is: 3,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.98 : 4,719 = 2,320.74 : x
  2. Step 2: Convert to fraction form
    3,148.98/4,719 = 2,320.74/x
  3. Step 3: Cross multiply
    3,148.98x = 4,719 × 2,320.74
  4. Step 4: Simplify right side
    3,148.98x = 10,951,572.06
  5. Step 5: Solve for x
    x = 10,951,572.06/3,148.98
  6. Step 6: Final answer
    x = 3,477.82

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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.