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Finding the Fourth Proportional to 2,470.72, 3,706.08 and 740.56

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Solution

The fourth proportional to 2,470.72, 3,706.08 and 740.56 is: 1,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.72 : 3,706.08 = 740.56 : x
  2. Step 2: Convert to fraction form
    2,470.72/3,706.08 = 740.56/x
  3. Step 3: Cross multiply
    2,470.72x = 3,706.08 × 740.56
  4. Step 4: Simplify right side
    2,470.72x = 2,744,574.60
  5. Step 5: Solve for x
    x = 2,744,574.60/2,470.72
  6. Step 6: Final answer
    x = 1,110.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.