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Finding the Fourth Proportional to 1,874.64, 2,587.56 and 1,211.48

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Solution

The fourth proportional to 1,874.64, 2,587.56 and 1,211.48 is: 1,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.64 : 2,587.56 = 1,211.48 : x
  2. Step 2: Convert to fraction form
    1,874.64/2,587.56 = 1,211.48/x
  3. Step 3: Cross multiply
    1,874.64x = 2,587.56 × 1,211.48
  4. Step 4: Simplify right side
    1,874.64x = 3,134,777.19
  5. Step 5: Solve for x
    x = 3,134,777.19/1,874.64
  6. Step 6: Final answer
    x = 1,672.20

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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.