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Finding the Fourth Proportional to 2,862.59, 4,296.58 and 1,476.90

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Solution

The fourth proportional to 2,862.59, 4,296.58 and 1,476.90 is: 2,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.59 : 4,296.58 = 1,476.90 : x
  2. Step 2: Convert to fraction form
    2,862.59/4,296.58 = 1,476.90/x
  3. Step 3: Cross multiply
    2,862.59x = 4,296.58 × 1,476.90
  4. Step 4: Simplify right side
    2,862.59x = 6,345,615.31
  5. Step 5: Solve for x
    x = 6,345,615.31/2,862.59
  6. Step 6: Final answer
    x = 2,216.74

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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.