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Finding the Fourth Proportional to 2,938.22, 4,407.93 and 990.57

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Solution

The fourth proportional to 2,938.22, 4,407.93 and 990.57 is: 1,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.22 : 4,407.93 = 990.57 : x
  2. Step 2: Convert to fraction form
    2,938.22/4,407.93 = 990.57/x
  3. Step 3: Cross multiply
    2,938.22x = 4,407.93 × 990.57
  4. Step 4: Simplify right side
    2,938.22x = 4,366,363.22
  5. Step 5: Solve for x
    x = 4,366,363.22/2,938.22
  6. Step 6: Final answer
    x = 1,486.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.