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Finding the Fourth Proportional to 2,000.10, 3,000.15 and 1,854.30

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Solution

The fourth proportional to 2,000.10, 3,000.15 and 1,854.30 is: 2,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.10 : 3,000.15 = 1,854.30 : x
  2. Step 2: Convert to fraction form
    2,000.10/3,000.15 = 1,854.30/x
  3. Step 3: Cross multiply
    2,000.10x = 3,000.15 × 1,854.30
  4. Step 4: Simplify right side
    2,000.10x = 5,563,178.15
  5. Step 5: Solve for x
    x = 5,563,178.15/2,000.10
  6. Step 6: Final answer
    x = 2,781.45

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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.