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Finding the Fourth Proportional to 2,863.92, 4,292.28 and 1,547.62

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Solution

The fourth proportional to 2,863.92, 4,292.28 and 1,547.62 is: 2,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.92 : 4,292.28 = 1,547.62 : x
  2. Step 2: Convert to fraction form
    2,863.92/4,292.28 = 1,547.62/x
  3. Step 3: Cross multiply
    2,863.92x = 4,292.28 × 1,547.62
  4. Step 4: Simplify right side
    2,863.92x = 6,642,818.37
  5. Step 5: Solve for x
    x = 6,642,818.37/2,863.92
  6. Step 6: Final answer
    x = 2,319.48

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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.