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Finding the Fourth Proportional to 3,002.54, 4,502.46 and 1,360.40

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Solution

The fourth proportional to 3,002.54, 4,502.46 and 1,360.40 is: 2,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.54 : 4,502.46 = 1,360.40 : x
  2. Step 2: Convert to fraction form
    3,002.54/4,502.46 = 1,360.40/x
  3. Step 3: Cross multiply
    3,002.54x = 4,502.46 × 1,360.40
  4. Step 4: Simplify right side
    3,002.54x = 6,125,146.58
  5. Step 5: Solve for x
    x = 6,125,146.58/3,002.54
  6. Step 6: Final answer
    x = 2,039.99

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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.