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Finding the Fourth Proportional to 2,938.98, 4,407.51 and 990.90

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Solution

The fourth proportional to 2,938.98, 4,407.51 and 990.90 is: 1,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.98 : 4,407.51 = 990.90 : x
  2. Step 2: Convert to fraction form
    2,938.98/4,407.51 = 990.90/x
  3. Step 3: Cross multiply
    2,938.98x = 4,407.51 × 990.90
  4. Step 4: Simplify right side
    2,938.98x = 4,367,401.66
  5. Step 5: Solve for x
    x = 4,367,401.66/2,938.98
  6. Step 6: Final answer
    x = 1,486.03

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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.