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Finding the Fourth Proportional to 2,017.55, 3,026.51 and 785.05

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Solution

The fourth proportional to 2,017.55, 3,026.51 and 785.05 is: 1,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.55 : 3,026.51 = 785.05 : x
  2. Step 2: Convert to fraction form
    2,017.55/3,026.51 = 785.05/x
  3. Step 3: Cross multiply
    2,017.55x = 3,026.51 × 785.05
  4. Step 4: Simplify right side
    2,017.55x = 2,375,964.48
  5. Step 5: Solve for x
    x = 2,375,964.48/2,017.55
  6. Step 6: Final answer
    x = 1,177.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.