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Finding the Fourth Proportional to 2,345.15, 3,518.03 and 784.49

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Solution

The fourth proportional to 2,345.15, 3,518.03 and 784.49 is: 1,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.15 : 3,518.03 = 784.49 : x
  2. Step 2: Convert to fraction form
    2,345.15/3,518.03 = 784.49/x
  3. Step 3: Cross multiply
    2,345.15x = 3,518.03 × 784.49
  4. Step 4: Simplify right side
    2,345.15x = 2,759,843.73
  5. Step 5: Solve for x
    x = 2,759,843.73/2,345.15
  6. Step 6: Final answer
    x = 1,176.83

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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.