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Finding the Fourth Proportional to 2,885.86, 4,328.76 and 938.14

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Solution

The fourth proportional to 2,885.86, 4,328.76 and 938.14 is: 1,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.86 : 4,328.76 = 938.14 : x
  2. Step 2: Convert to fraction form
    2,885.86/4,328.76 = 938.14/x
  3. Step 3: Cross multiply
    2,885.86x = 4,328.76 × 938.14
  4. Step 4: Simplify right side
    2,885.86x = 4,060,982.91
  5. Step 5: Solve for x
    x = 4,060,982.91/2,885.86
  6. Step 6: Final answer
    x = 1,407.20

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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.