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Finding the Fourth Proportional to 3,000.80, 4,502.55 and 1,440.20

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Solution

The fourth proportional to 3,000.80, 4,502.55 and 1,440.20 is: 2,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.80 : 4,502.55 = 1,440.20 : x
  2. Step 2: Convert to fraction form
    3,000.80/4,502.55 = 1,440.20/x
  3. Step 3: Cross multiply
    3,000.80x = 4,502.55 × 1,440.20
  4. Step 4: Simplify right side
    3,000.80x = 6,484,572.51
  5. Step 5: Solve for x
    x = 6,484,572.51/3,000.80
  6. Step 6: Final answer
    x = 2,160.95

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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.