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Finding the Fourth Proportional to 2,854.04, 4,281.66 and 906.26

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Solution

The fourth proportional to 2,854.04, 4,281.66 and 906.26 is: 1,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.04 : 4,281.66 = 906.26 : x
  2. Step 2: Convert to fraction form
    2,854.04/4,281.66 = 906.26/x
  3. Step 3: Cross multiply
    2,854.04x = 4,281.66 × 906.26
  4. Step 4: Simplify right side
    2,854.04x = 3,880,275.78
  5. Step 5: Solve for x
    x = 3,880,275.78/2,854.04
  6. Step 6: Final answer
    x = 1,359.58

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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.