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Finding the Fourth Proportional to 2,876.61, 4,315.38 and 1,027.32

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Solution

The fourth proportional to 2,876.61, 4,315.38 and 1,027.32 is: 1,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.61 : 4,315.38 = 1,027.32 : x
  2. Step 2: Convert to fraction form
    2,876.61/4,315.38 = 1,027.32/x
  3. Step 3: Cross multiply
    2,876.61x = 4,315.38 × 1,027.32
  4. Step 4: Simplify right side
    2,876.61x = 4,433,276.18
  5. Step 5: Solve for x
    x = 4,433,276.18/2,876.61
  6. Step 6: Final answer
    x = 1,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.