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Finding the Fourth Proportional to 2,026.68, 3,036.18 and 1,001.40

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Solution

The fourth proportional to 2,026.68, 3,036.18 and 1,001.40 is: 1,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.68 : 3,036.18 = 1,001.40 : x
  2. Step 2: Convert to fraction form
    2,026.68/3,036.18 = 1,001.40/x
  3. Step 3: Cross multiply
    2,026.68x = 3,036.18 × 1,001.40
  4. Step 4: Simplify right side
    2,026.68x = 3,040,430.65
  5. Step 5: Solve for x
    x = 3,040,430.65/2,026.68
  6. Step 6: Final answer
    x = 1,500.20

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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.