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Finding the Fourth Proportional to 1,357.44, 2,026.12 and 1,185.52

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Solution

The fourth proportional to 1,357.44, 2,026.12 and 1,185.52 is: 1,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.44 : 2,026.12 = 1,185.52 : x
  2. Step 2: Convert to fraction form
    1,357.44/2,026.12 = 1,185.52/x
  3. Step 3: Cross multiply
    1,357.44x = 2,026.12 × 1,185.52
  4. Step 4: Simplify right side
    1,357.44x = 2,402,005.78
  5. Step 5: Solve for x
    x = 2,402,005.78/1,357.44
  6. Step 6: Final answer
    x = 1,769.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.