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Finding the Fourth Proportional to 2,938.76, 4,409.04 and 990.80

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Solution

The fourth proportional to 2,938.76, 4,409.04 and 990.80 is: 1,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.76 : 4,409.04 = 990.80 : x
  2. Step 2: Convert to fraction form
    2,938.76/4,409.04 = 990.80/x
  3. Step 3: Cross multiply
    2,938.76x = 4,409.04 × 990.80
  4. Step 4: Simplify right side
    2,938.76x = 4,368,476.83
  5. Step 5: Solve for x
    x = 4,368,476.83/2,938.76
  6. Step 6: Final answer
    x = 1,486.50

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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.