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Finding the Fourth Proportional to 1,874.32, 2,585.76 and 1,211.24

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Solution

The fourth proportional to 1,874.32, 2,585.76 and 1,211.24 is: 1,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.32 : 2,585.76 = 1,211.24 : x
  2. Step 2: Convert to fraction form
    1,874.32/2,585.76 = 1,211.24/x
  3. Step 3: Cross multiply
    1,874.32x = 2,585.76 × 1,211.24
  4. Step 4: Simplify right side
    1,874.32x = 3,131,975.94
  5. Step 5: Solve for x
    x = 3,131,975.94/1,874.32
  6. Step 6: Final answer
    x = 1,670.99

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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.