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Finding the Fourth Proportional to 2,472.23, 3,707.75 and 716.76

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Solution

The fourth proportional to 2,472.23, 3,707.75 and 716.76 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.23 : 3,707.75 = 716.76 : x
  2. Step 2: Convert to fraction form
    2,472.23/3,707.75 = 716.76/x
  3. Step 3: Cross multiply
    2,472.23x = 3,707.75 × 716.76
  4. Step 4: Simplify right side
    2,472.23x = 2,657,582.59
  5. Step 5: Solve for x
    x = 2,657,582.59/2,472.23
  6. Step 6: Final answer
    x = 1,074.98

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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.