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Finding the Fourth Proportional to 2,800.78, 3,863.70 and 1,681.18

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Solution

The fourth proportional to 2,800.78, 3,863.70 and 1,681.18 is: 2,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.78 : 3,863.70 = 1,681.18 : x
  2. Step 2: Convert to fraction form
    2,800.78/3,863.70 = 1,681.18/x
  3. Step 3: Cross multiply
    2,800.78x = 3,863.70 × 1,681.18
  4. Step 4: Simplify right side
    2,800.78x = 6,495,575.17
  5. Step 5: Solve for x
    x = 6,495,575.17/2,800.78
  6. Step 6: Final answer
    x = 2,319.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.