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Finding the Fourth Proportional to 2,472.98, 3,708.12 and 1,010.93

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Solution

The fourth proportional to 2,472.98, 3,708.12 and 1,010.93 is: 1,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.98 : 3,708.12 = 1,010.93 : x
  2. Step 2: Convert to fraction form
    2,472.98/3,708.12 = 1,010.93/x
  3. Step 3: Cross multiply
    2,472.98x = 3,708.12 × 1,010.93
  4. Step 4: Simplify right side
    2,472.98x = 3,748,649.75
  5. Step 5: Solve for x
    x = 3,748,649.75/2,472.98
  6. Step 6: Final answer
    x = 1,515.84

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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.