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Finding the Fourth Proportional to 1,959.60, 2,937.60 and 1,034.58

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Solution

The fourth proportional to 1,959.60, 2,937.60 and 1,034.58 is: 1,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.60 : 2,937.60 = 1,034.58 : x
  2. Step 2: Convert to fraction form
    1,959.60/2,937.60 = 1,034.58/x
  3. Step 3: Cross multiply
    1,959.60x = 2,937.60 × 1,034.58
  4. Step 4: Simplify right side
    1,959.60x = 3,039,182.21
  5. Step 5: Solve for x
    x = 3,039,182.21/1,959.60
  6. Step 6: Final answer
    x = 1,550.92

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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.