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Finding the Fourth Proportional to 2,877.15, 4,315.12 and 928.29

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Solution

The fourth proportional to 2,877.15, 4,315.12 and 928.29 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.15 : 4,315.12 = 928.29 : x
  2. Step 2: Convert to fraction form
    2,877.15/4,315.12 = 928.29/x
  3. Step 3: Cross multiply
    2,877.15x = 4,315.12 × 928.29
  4. Step 4: Simplify right side
    2,877.15x = 4,005,680.42
  5. Step 5: Solve for x
    x = 4,005,680.42/2,877.15
  6. Step 6: Final answer
    x = 1,392.24

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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.