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Finding the Fourth Proportional to 2,026.58, 3,040.16 and 565.88

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Solution

The fourth proportional to 2,026.58, 3,040.16 and 565.88 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.58 : 3,040.16 = 565.88 : x
  2. Step 2: Convert to fraction form
    2,026.58/3,040.16 = 565.88/x
  3. Step 3: Cross multiply
    2,026.58x = 3,040.16 × 565.88
  4. Step 4: Simplify right side
    2,026.58x = 1,720,347.71
  5. Step 5: Solve for x
    x = 1,720,347.71/2,026.58
  6. Step 6: Final answer
    x = 848.89

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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.