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Finding the Fourth Proportional to 2,020.38, 3,030.53 and 980.47

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Solution

The fourth proportional to 2,020.38, 3,030.53 and 980.47 is: 1,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.38 : 3,030.53 = 980.47 : x
  2. Step 2: Convert to fraction form
    2,020.38/3,030.53 = 980.47/x
  3. Step 3: Cross multiply
    2,020.38x = 3,030.53 × 980.47
  4. Step 4: Simplify right side
    2,020.38x = 2,971,343.75
  5. Step 5: Solve for x
    x = 2,971,343.75/2,020.38
  6. Step 6: Final answer
    x = 1,470.69

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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.