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Finding the Fourth Proportional to 2,854.63, 4,281.95 and 1,915.44

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Solution

The fourth proportional to 2,854.63, 4,281.95 and 1,915.44 is: 2,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.63 : 4,281.95 = 1,915.44 : x
  2. Step 2: Convert to fraction form
    2,854.63/4,281.95 = 1,915.44/x
  3. Step 3: Cross multiply
    2,854.63x = 4,281.95 × 1,915.44
  4. Step 4: Simplify right side
    2,854.63x = 8,201,818.31
  5. Step 5: Solve for x
    x = 8,201,818.31/2,854.63
  6. Step 6: Final answer
    x = 2,873.16

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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.