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Finding the Fourth Proportional to 2,345.76, 3,518.13 and 701.87

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Solution

The fourth proportional to 2,345.76, 3,518.13 and 701.87 is: 1,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,518.13 = 701.87 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,518.13 = 701.87/x
  3. Step 3: Cross multiply
    2,345.76x = 3,518.13 × 701.87
  4. Step 4: Simplify right side
    2,345.76x = 2,469,254.94
  5. Step 5: Solve for x
    x = 2,469,254.94/2,345.76
  6. Step 6: Final answer
    x = 1,052.65

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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.