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Finding the Fourth Proportional to 1,752.40, 2,419.78 and 1,565.56

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Solution

The fourth proportional to 1,752.40, 2,419.78 and 1,565.56 is: 2,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.40 : 2,419.78 = 1,565.56 : x
  2. Step 2: Convert to fraction form
    1,752.40/2,419.78 = 1,565.56/x
  3. Step 3: Cross multiply
    1,752.40x = 2,419.78 × 1,565.56
  4. Step 4: Simplify right side
    1,752.40x = 3,788,310.78
  5. Step 5: Solve for x
    x = 3,788,310.78/1,752.40
  6. Step 6: Final answer
    x = 2,161.78

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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.