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Finding the Fourth Proportional to 2,344.52, 3,516.80 and 701.07

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Solution

The fourth proportional to 2,344.52, 3,516.80 and 701.07 is: 1,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.52 : 3,516.80 = 701.07 : x
  2. Step 2: Convert to fraction form
    2,344.52/3,516.80 = 701.07/x
  3. Step 3: Cross multiply
    2,344.52x = 3,516.80 × 701.07
  4. Step 4: Simplify right side
    2,344.52x = 2,465,519.47
  5. Step 5: Solve for x
    x = 2,465,519.47/2,344.52
  6. Step 6: Final answer
    x = 1,051.61

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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.