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Finding the Fourth Proportional to 2,017.42, 3,025.74 and 701.17

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Solution

The fourth proportional to 2,017.42, 3,025.74 and 701.17 is: 1,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.42 : 3,025.74 = 701.17 : x
  2. Step 2: Convert to fraction form
    2,017.42/3,025.74 = 701.17/x
  3. Step 3: Cross multiply
    2,017.42x = 3,025.74 × 701.17
  4. Step 4: Simplify right side
    2,017.42x = 2,121,558.12
  5. Step 5: Solve for x
    x = 2,121,558.12/2,017.42
  6. Step 6: Final answer
    x = 1,051.62

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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.