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Finding the Fourth Proportional to 2,472.05, 3,707.46 and 740.67

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Solution

The fourth proportional to 2,472.05, 3,707.46 and 740.67 is: 1,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.05 : 3,707.46 = 740.67 : x
  2. Step 2: Convert to fraction form
    2,472.05/3,707.46 = 740.67/x
  3. Step 3: Cross multiply
    2,472.05x = 3,707.46 × 740.67
  4. Step 4: Simplify right side
    2,472.05x = 2,746,004.40
  5. Step 5: Solve for x
    x = 2,746,004.40/2,472.05
  6. Step 6: Final answer
    x = 1,110.82

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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.