Home / 2,000.26-3,002.31-974.98

Finding the Fourth Proportional to 2,000.26, 3,002.31 and 974.98

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Solution

The fourth proportional to 2,000.26, 3,002.31 and 974.98 is: 1,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.26 : 3,002.31 = 974.98 : x
  2. Step 2: Convert to fraction form
    2,000.26/3,002.31 = 974.98/x
  3. Step 3: Cross multiply
    2,000.26x = 3,002.31 × 974.98
  4. Step 4: Simplify right side
    2,000.26x = 2,927,192.20
  5. Step 5: Solve for x
    x = 2,927,192.20/2,000.26
  6. Step 6: Final answer
    x = 1,463.41

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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.