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Finding the Fourth Proportional to 2,854.02, 4,281.42 and 905.56

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Solution

The fourth proportional to 2,854.02, 4,281.42 and 905.56 is: 1,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.02 : 4,281.42 = 905.56 : x
  2. Step 2: Convert to fraction form
    2,854.02/4,281.42 = 905.56/x
  3. Step 3: Cross multiply
    2,854.02x = 4,281.42 × 905.56
  4. Step 4: Simplify right side
    2,854.02x = 3,877,082.70
  5. Step 5: Solve for x
    x = 3,877,082.70/2,854.02
  6. Step 6: Final answer
    x = 1,358.46

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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.