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Finding the Fourth Proportional to 2,415.96, 3,624.12 and 2,001.24

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Solution

The fourth proportional to 2,415.96, 3,624.12 and 2,001.24 is: 3,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.96 : 3,624.12 = 2,001.24 : x
  2. Step 2: Convert to fraction form
    2,415.96/3,624.12 = 2,001.24/x
  3. Step 3: Cross multiply
    2,415.96x = 3,624.12 × 2,001.24
  4. Step 4: Simplify right side
    2,415.96x = 7,252,733.91
  5. Step 5: Solve for x
    x = 7,252,733.91/2,415.96
  6. Step 6: Final answer
    x = 3,002.01

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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.