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Finding the Fourth Proportional to 1,752.64, 2,418.16 and 1,006.56

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Solution

The fourth proportional to 1,752.64, 2,418.16 and 1,006.56 is: 1,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.64 : 2,418.16 = 1,006.56 : x
  2. Step 2: Convert to fraction form
    1,752.64/2,418.16 = 1,006.56/x
  3. Step 3: Cross multiply
    1,752.64x = 2,418.16 × 1,006.56
  4. Step 4: Simplify right side
    1,752.64x = 2,434,023.13
  5. Step 5: Solve for x
    x = 2,434,023.13/1,752.64
  6. Step 6: Final answer
    x = 1,388.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.