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Finding the Fourth Proportional to 2,854.04, 4,284.98 and 1,468.52

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Solution

The fourth proportional to 2,854.04, 4,284.98 and 1,468.52 is: 2,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.04 : 4,284.98 = 1,468.52 : x
  2. Step 2: Convert to fraction form
    2,854.04/4,284.98 = 1,468.52/x
  3. Step 3: Cross multiply
    2,854.04x = 4,284.98 × 1,468.52
  4. Step 4: Simplify right side
    2,854.04x = 6,292,578.83
  5. Step 5: Solve for x
    x = 6,292,578.83/2,854.04
  6. Step 6: Final answer
    x = 2,204.80

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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.