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Finding the Fourth Proportional to 2,938.90, 4,407.55 and 990.82

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Solution

The fourth proportional to 2,938.90, 4,407.55 and 990.82 is: 1,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.90 : 4,407.55 = 990.82 : x
  2. Step 2: Convert to fraction form
    2,938.90/4,407.55 = 990.82/x
  3. Step 3: Cross multiply
    2,938.90x = 4,407.55 × 990.82
  4. Step 4: Simplify right side
    2,938.90x = 4,367,088.69
  5. Step 5: Solve for x
    x = 4,367,088.69/2,938.90
  6. Step 6: Final answer
    x = 1,485.96

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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.