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Finding the Fourth Proportional to 4,280.80, 6,420.24 and 1,509.20

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Solution

The fourth proportional to 4,280.80, 6,420.24 and 1,509.20 is: 2,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.80 : 6,420.24 = 1,509.20 : x
  2. Step 2: Convert to fraction form
    4,280.80/6,420.24 = 1,509.20/x
  3. Step 3: Cross multiply
    4,280.80x = 6,420.24 × 1,509.20
  4. Step 4: Simplify right side
    4,280.80x = 9,689,426.21
  5. Step 5: Solve for x
    x = 9,689,426.21/4,280.80
  6. Step 6: Final answer
    x = 2,263.46

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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.