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Finding the Fourth Proportional to 2,875.78, 4,294.18 and 2,284.14

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Solution

The fourth proportional to 2,875.78, 4,294.18 and 2,284.14 is: 3,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.78 : 4,294.18 = 2,284.14 : x
  2. Step 2: Convert to fraction form
    2,875.78/4,294.18 = 2,284.14/x
  3. Step 3: Cross multiply
    2,875.78x = 4,294.18 × 2,284.14
  4. Step 4: Simplify right side
    2,875.78x = 9,808,508.31
  5. Step 5: Solve for x
    x = 9,808,508.31/2,875.78
  6. Step 6: Final answer
    x = 3,410.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.