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Finding the Fourth Proportional to 2,345.73, 3,517.73 and 701.72

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Solution

The fourth proportional to 2,345.73, 3,517.73 and 701.72 is: 1,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.73 : 3,517.73 = 701.72 : x
  2. Step 2: Convert to fraction form
    2,345.73/3,517.73 = 701.72/x
  3. Step 3: Cross multiply
    2,345.73x = 3,517.73 × 701.72
  4. Step 4: Simplify right side
    2,345.73x = 2,468,461.50
  5. Step 5: Solve for x
    x = 2,468,461.50/2,345.73
  6. Step 6: Final answer
    x = 1,052.32

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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.