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Finding the Fourth Proportional to 2,877.96, 4,316.80 and 930.12

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Solution

The fourth proportional to 2,877.96, 4,316.80 and 930.12 is: 1,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.96 : 4,316.80 = 930.12 : x
  2. Step 2: Convert to fraction form
    2,877.96/4,316.80 = 930.12/x
  3. Step 3: Cross multiply
    2,877.96x = 4,316.80 × 930.12
  4. Step 4: Simplify right side
    2,877.96x = 4,015,142.02
  5. Step 5: Solve for x
    x = 4,015,142.02/2,877.96
  6. Step 6: Final answer
    x = 1,395.13

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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.