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Finding the Fourth Proportional to 1,752.67, 2,418.46 and 1,006.53

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Solution

The fourth proportional to 1,752.67, 2,418.46 and 1,006.53 is: 1,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.67 : 2,418.46 = 1,006.53 : x
  2. Step 2: Convert to fraction form
    1,752.67/2,418.46 = 1,006.53/x
  3. Step 3: Cross multiply
    1,752.67x = 2,418.46 × 1,006.53
  4. Step 4: Simplify right side
    1,752.67x = 2,434,252.54
  5. Step 5: Solve for x
    x = 2,434,252.54/1,752.67
  6. Step 6: Final answer
    x = 1,388.88

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