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Finding the Fourth Proportional to 2,877.80, 4,316.70 and 1,233.28

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Solution

The fourth proportional to 2,877.80, 4,316.70 and 1,233.28 is: 1,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.80 : 4,316.70 = 1,233.28 : x
  2. Step 2: Convert to fraction form
    2,877.80/4,316.70 = 1,233.28/x
  3. Step 3: Cross multiply
    2,877.80x = 4,316.70 × 1,233.28
  4. Step 4: Simplify right side
    2,877.80x = 5,323,693.61
  5. Step 5: Solve for x
    x = 5,323,693.61/2,877.80
  6. Step 6: Final answer
    x = 1,849.92

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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.