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Finding the Fourth Proportional to 4,378.40, 6,563.42 and 1,454.66

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Solution

The fourth proportional to 4,378.40, 6,563.42 and 1,454.66 is: 2,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.40 : 6,563.42 = 1,454.66 : x
  2. Step 2: Convert to fraction form
    4,378.40/6,563.42 = 1,454.66/x
  3. Step 3: Cross multiply
    4,378.40x = 6,563.42 × 1,454.66
  4. Step 4: Simplify right side
    4,378.40x = 9,547,544.54
  5. Step 5: Solve for x
    x = 9,547,544.54/4,378.40
  6. Step 6: Final answer
    x = 2,180.60

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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.