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Finding the Fourth Proportional to 2,000.99, 3,001.49 and 702.15

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Solution

The fourth proportional to 2,000.99, 3,001.49 and 702.15 is: 1,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.99 : 3,001.49 = 702.15 : x
  2. Step 2: Convert to fraction form
    2,000.99/3,001.49 = 702.15/x
  3. Step 3: Cross multiply
    2,000.99x = 3,001.49 × 702.15
  4. Step 4: Simplify right side
    2,000.99x = 2,107,492.69
  5. Step 5: Solve for x
    x = 2,107,492.69/2,000.99
  6. Step 6: Final answer
    x = 1,053.23

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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.