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Finding the Fourth Proportional to 1,708.42, 2,561.82 and 783.70

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Solution

The fourth proportional to 1,708.42, 2,561.82 and 783.70 is: 1,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.42 : 2,561.82 = 783.70 : x
  2. Step 2: Convert to fraction form
    1,708.42/2,561.82 = 783.70/x
  3. Step 3: Cross multiply
    1,708.42x = 2,561.82 × 783.70
  4. Step 4: Simplify right side
    1,708.42x = 2,007,698.33
  5. Step 5: Solve for x
    x = 2,007,698.33/1,708.42
  6. Step 6: Final answer
    x = 1,175.18

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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.