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Finding the Fourth Proportional to 3,056.76, 4,585.91 and 1,414.49

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Solution

The fourth proportional to 3,056.76, 4,585.91 and 1,414.49 is: 2,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.76 : 4,585.91 = 1,414.49 : x
  2. Step 2: Convert to fraction form
    3,056.76/4,585.91 = 1,414.49/x
  3. Step 3: Cross multiply
    3,056.76x = 4,585.91 × 1,414.49
  4. Step 4: Simplify right side
    3,056.76x = 6,486,693.83
  5. Step 5: Solve for x
    x = 6,486,693.83/3,056.76
  6. Step 6: Final answer
    x = 2,122.08

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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.