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Finding the Fourth Proportional to 3,113.38, 4,670.16 and 1,470.70

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Solution

The fourth proportional to 3,113.38, 4,670.16 and 1,470.70 is: 2,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.38 : 4,670.16 = 1,470.70 : x
  2. Step 2: Convert to fraction form
    3,113.38/4,670.16 = 1,470.70/x
  3. Step 3: Cross multiply
    3,113.38x = 4,670.16 × 1,470.70
  4. Step 4: Simplify right side
    3,113.38x = 6,868,404.31
  5. Step 5: Solve for x
    x = 6,868,404.31/3,113.38
  6. Step 6: Final answer
    x = 2,206.09

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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.