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Finding the Fourth Proportional to 2,938.20, 4,407.28 and 990.40

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Solution

The fourth proportional to 2,938.20, 4,407.28 and 990.40 is: 1,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.20 : 4,407.28 = 990.40 : x
  2. Step 2: Convert to fraction form
    2,938.20/4,407.28 = 990.40/x
  3. Step 3: Cross multiply
    2,938.20x = 4,407.28 × 990.40
  4. Step 4: Simplify right side
    2,938.20x = 4,364,970.11
  5. Step 5: Solve for x
    x = 4,364,970.11/2,938.20
  6. Step 6: Final answer
    x = 1,485.59

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1.5x scale

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.