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Finding the Fourth Proportional to 2,854.23, 4,281.47 and 906.39

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Solution

The fourth proportional to 2,854.23, 4,281.47 and 906.39 is: 1,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.23 : 4,281.47 = 906.39 : x
  2. Step 2: Convert to fraction form
    2,854.23/4,281.47 = 906.39/x
  3. Step 3: Cross multiply
    2,854.23x = 4,281.47 × 906.39
  4. Step 4: Simplify right side
    2,854.23x = 3,880,677.06
  5. Step 5: Solve for x
    x = 3,880,677.06/2,854.23
  6. Step 6: Final answer
    x = 1,359.62

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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.