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Finding the Fourth Proportional to 2,854.52, 4,281.71 and 774.69

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Solution

The fourth proportional to 2,854.52, 4,281.71 and 774.69 is: 1,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.52 : 4,281.71 = 774.69 : x
  2. Step 2: Convert to fraction form
    2,854.52/4,281.71 = 774.69/x
  3. Step 3: Cross multiply
    2,854.52x = 4,281.71 × 774.69
  4. Step 4: Simplify right side
    2,854.52x = 3,316,994.05
  5. Step 5: Solve for x
    x = 3,316,994.05/2,854.52
  6. Step 6: Final answer
    x = 1,162.02

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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.