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Finding the Fourth Proportional to 1,867.64, 2,577.16 and 1,081.74

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Solution

The fourth proportional to 1,867.64, 2,577.16 and 1,081.74 is: 1,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.64 : 2,577.16 = 1,081.74 : x
  2. Step 2: Convert to fraction form
    1,867.64/2,577.16 = 1,081.74/x
  3. Step 3: Cross multiply
    1,867.64x = 2,577.16 × 1,081.74
  4. Step 4: Simplify right side
    1,867.64x = 2,787,817.06
  5. Step 5: Solve for x
    x = 2,787,817.06/1,867.64
  6. Step 6: Final answer
    x = 1,492.70

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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.