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Finding the Fourth Proportional to 2,017.88, 3,026.44 and 537.08

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Solution

The fourth proportional to 2,017.88, 3,026.44 and 537.08 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.88 : 3,026.44 = 537.08 : x
  2. Step 2: Convert to fraction form
    2,017.88/3,026.44 = 537.08/x
  3. Step 3: Cross multiply
    2,017.88x = 3,026.44 × 537.08
  4. Step 4: Simplify right side
    2,017.88x = 1,625,440.40
  5. Step 5: Solve for x
    x = 1,625,440.40/2,017.88
  6. Step 6: Final answer
    x = 805.52

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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.