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Finding the Fourth Proportional to 4,578.14, 6,863.10 and 1,655.78

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Solution

The fourth proportional to 4,578.14, 6,863.10 and 1,655.78 is: 2,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.14 : 6,863.10 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    4,578.14/6,863.10 = 1,655.78/x
  3. Step 3: Cross multiply
    4,578.14x = 6,863.10 × 1,655.78
  4. Step 4: Simplify right side
    4,578.14x = 11,363,783.72
  5. Step 5: Solve for x
    x = 11,363,783.72/4,578.14
  6. Step 6: Final answer
    x = 2,482.18

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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.