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Finding the Fourth Proportional to 1,878.60, 2,591.55 and 1,216.02

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Solution

The fourth proportional to 1,878.60, 2,591.55 and 1,216.02 is: 1,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.60 : 2,591.55 = 1,216.02 : x
  2. Step 2: Convert to fraction form
    1,878.60/2,591.55 = 1,216.02/x
  3. Step 3: Cross multiply
    1,878.60x = 2,591.55 × 1,216.02
  4. Step 4: Simplify right side
    1,878.60x = 3,151,376.63
  5. Step 5: Solve for x
    x = 3,151,376.63/1,878.60
  6. Step 6: Final answer
    x = 1,677.51

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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.