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Finding the Fourth Proportional to 2,017.42, 3,025.90 and 700.92

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Solution

The fourth proportional to 2,017.42, 3,025.90 and 700.92 is: 1,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.42 : 3,025.90 = 700.92 : x
  2. Step 2: Convert to fraction form
    2,017.42/3,025.90 = 700.92/x
  3. Step 3: Cross multiply
    2,017.42x = 3,025.90 × 700.92
  4. Step 4: Simplify right side
    2,017.42x = 2,120,913.83
  5. Step 5: Solve for x
    x = 2,120,913.83/2,017.42
  6. Step 6: Final answer
    x = 1,051.30

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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.