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Finding the Fourth Proportional to 4,318.24, 6,478.32 and 1,240

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Solution

The fourth proportional to 4,318.24, 6,478.32 and 1,240 is: 1,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.24 : 6,478.32 = 1,240 : x
  2. Step 2: Convert to fraction form
    4,318.24/6,478.32 = 1,240/x
  3. Step 3: Cross multiply
    4,318.24x = 6,478.32 × 1,240
  4. Step 4: Simplify right side
    4,318.24x = 8,033,116.80
  5. Step 5: Solve for x
    x = 8,033,116.80/4,318.24
  6. Step 6: Final answer
    x = 1,860.28

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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.