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Finding the Fourth Proportional to 2,185.64, 3,278.86 and 1,987.57

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Solution

The fourth proportional to 2,185.64, 3,278.86 and 1,987.57 is: 2,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.64 : 3,278.86 = 1,987.57 : x
  2. Step 2: Convert to fraction form
    2,185.64/3,278.86 = 1,987.57/x
  3. Step 3: Cross multiply
    2,185.64x = 3,278.86 × 1,987.57
  4. Step 4: Simplify right side
    2,185.64x = 6,516,963.77
  5. Step 5: Solve for x
    x = 6,516,963.77/2,185.64
  6. Step 6: Final answer
    x = 2,981.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.