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Finding the Fourth Proportional to 1,708.67, 2,357.79 and 1,000.48

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Solution

The fourth proportional to 1,708.67, 2,357.79 and 1,000.48 is: 1,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.67 : 2,357.79 = 1,000.48 : x
  2. Step 2: Convert to fraction form
    1,708.67/2,357.79 = 1,000.48/x
  3. Step 3: Cross multiply
    1,708.67x = 2,357.79 × 1,000.48
  4. Step 4: Simplify right side
    1,708.67x = 2,358,921.74
  5. Step 5: Solve for x
    x = 2,358,921.74/1,708.67
  6. Step 6: Final answer
    x = 1,380.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.