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Finding the Fourth Proportional to 2,411.86, 3,612.60 and 1,255.18

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Solution

The fourth proportional to 2,411.86, 3,612.60 and 1,255.18 is: 1,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.86 : 3,612.60 = 1,255.18 : x
  2. Step 2: Convert to fraction form
    2,411.86/3,612.60 = 1,255.18/x
  3. Step 3: Cross multiply
    2,411.86x = 3,612.60 × 1,255.18
  4. Step 4: Simplify right side
    2,411.86x = 4,534,463.27
  5. Step 5: Solve for x
    x = 4,534,463.27/2,411.86
  6. Step 6: Final answer
    x = 1,880.07

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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.