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Finding the Fourth Proportional to 2,752.76, 4,126.63 and 997.35

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Solution

The fourth proportional to 2,752.76, 4,126.63 and 997.35 is: 1,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.76 : 4,126.63 = 997.35 : x
  2. Step 2: Convert to fraction form
    2,752.76/4,126.63 = 997.35/x
  3. Step 3: Cross multiply
    2,752.76x = 4,126.63 × 997.35
  4. Step 4: Simplify right side
    2,752.76x = 4,115,694.43
  5. Step 5: Solve for x
    x = 4,115,694.43/2,752.76
  6. Step 6: Final answer
    x = 1,495.12

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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.