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Finding the Fourth Proportional to 2,038.84, 3,057.48 and 868.23

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Solution

The fourth proportional to 2,038.84, 3,057.48 and 868.23 is: 1,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.84 : 3,057.48 = 868.23 : x
  2. Step 2: Convert to fraction form
    2,038.84/3,057.48 = 868.23/x
  3. Step 3: Cross multiply
    2,038.84x = 3,057.48 × 868.23
  4. Step 4: Simplify right side
    2,038.84x = 2,654,601.08
  5. Step 5: Solve for x
    x = 2,654,601.08/2,038.84
  6. Step 6: Final answer
    x = 1,302.02

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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.