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Finding the Fourth Proportional to 2,470.46, 3,407.75 and 1,631.17

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Solution

The fourth proportional to 2,470.46, 3,407.75 and 1,631.17 is: 2,250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.46 : 3,407.75 = 1,631.17 : x
  2. Step 2: Convert to fraction form
    2,470.46/3,407.75 = 1,631.17/x
  3. Step 3: Cross multiply
    2,470.46x = 3,407.75 × 1,631.17
  4. Step 4: Simplify right side
    2,470.46x = 5,558,602.53
  5. Step 5: Solve for x
    x = 5,558,602.53/2,470.46
  6. Step 6: Final answer
    x = 2,250.03

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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.