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Finding the Fourth Proportional to 2,501.84, 3,752.87 and 653.13

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Solution

The fourth proportional to 2,501.84, 3,752.87 and 653.13 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.84 : 3,752.87 = 653.13 : x
  2. Step 2: Convert to fraction form
    2,501.84/3,752.87 = 653.13/x
  3. Step 3: Cross multiply
    2,501.84x = 3,752.87 × 653.13
  4. Step 4: Simplify right side
    2,501.84x = 2,451,108.72
  5. Step 5: Solve for x
    x = 2,451,108.72/2,501.84
  6. Step 6: Final answer
    x = 979.72

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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.