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Finding the Fourth Proportional to 2,018.76, 3,026.25 and 785.90

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Solution

The fourth proportional to 2,018.76, 3,026.25 and 785.90 is: 1,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.76 : 3,026.25 = 785.90 : x
  2. Step 2: Convert to fraction form
    2,018.76/3,026.25 = 785.90/x
  3. Step 3: Cross multiply
    2,018.76x = 3,026.25 × 785.90
  4. Step 4: Simplify right side
    2,018.76x = 2,378,329.88
  5. Step 5: Solve for x
    x = 2,378,329.88/2,018.76
  6. Step 6: Final answer
    x = 1,178.11

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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.