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Finding the Fourth Proportional to 2,038.95, 3,057.90 and 868.30

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Solution

The fourth proportional to 2,038.95, 3,057.90 and 868.30 is: 1,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.95 : 3,057.90 = 868.30 : x
  2. Step 2: Convert to fraction form
    2,038.95/3,057.90 = 868.30/x
  3. Step 3: Cross multiply
    2,038.95x = 3,057.90 × 868.30
  4. Step 4: Simplify right side
    2,038.95x = 2,655,174.57
  5. Step 5: Solve for x
    x = 2,655,174.57/2,038.95
  6. Step 6: Final answer
    x = 1,302.23

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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.