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Finding the Fourth Proportional to 1,752.58, 2,416.41 and 1,419.78

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Solution

The fourth proportional to 1,752.58, 2,416.41 and 1,419.78 is: 1,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.58 : 2,416.41 = 1,419.78 : x
  2. Step 2: Convert to fraction form
    1,752.58/2,416.41 = 1,419.78/x
  3. Step 3: Cross multiply
    1,752.58x = 2,416.41 × 1,419.78
  4. Step 4: Simplify right side
    1,752.58x = 3,430,770.59
  5. Step 5: Solve for x
    x = 3,430,770.59/1,752.58
  6. Step 6: Final answer
    x = 1,957.55

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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.