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Finding the Fourth Proportional to 1,867.60, 2,577.13 and 1,081.70

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Solution

The fourth proportional to 1,867.60, 2,577.13 and 1,081.70 is: 1,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.60 : 2,577.13 = 1,081.70 : x
  2. Step 2: Convert to fraction form
    1,867.60/2,577.13 = 1,081.70/x
  3. Step 3: Cross multiply
    1,867.60x = 2,577.13 × 1,081.70
  4. Step 4: Simplify right side
    1,867.60x = 2,787,668.64
  5. Step 5: Solve for x
    x = 2,787,668.64/1,867.60
  6. Step 6: Final answer
    x = 1,492.65

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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.