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Finding the Fourth Proportional to 2,470.63, 3,705.95 and 1,171.39

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Solution

The fourth proportional to 2,470.63, 3,705.95 and 1,171.39 is: 1,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.63 : 3,705.95 = 1,171.39 : x
  2. Step 2: Convert to fraction form
    2,470.63/3,705.95 = 1,171.39/x
  3. Step 3: Cross multiply
    2,470.63x = 3,705.95 × 1,171.39
  4. Step 4: Simplify right side
    2,470.63x = 4,341,106.91
  5. Step 5: Solve for x
    x = 4,341,106.91/2,470.63
  6. Step 6: Final answer
    x = 1,757.09

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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.