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Finding the Fourth Proportional to 2,007.40, 3,012.06 and 1,575.40

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Solution

The fourth proportional to 2,007.40, 3,012.06 and 1,575.40 is: 2,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.40 : 3,012.06 = 1,575.40 : x
  2. Step 2: Convert to fraction form
    2,007.40/3,012.06 = 1,575.40/x
  3. Step 3: Cross multiply
    2,007.40x = 3,012.06 × 1,575.40
  4. Step 4: Simplify right side
    2,007.40x = 4,745,199.32
  5. Step 5: Solve for x
    x = 4,745,199.32/2,007.40
  6. Step 6: Final answer
    x = 2,363.85

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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.