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Finding the Fourth Proportional to 1,315.32, 1,962.98 and 1,169.52

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Solution

The fourth proportional to 1,315.32, 1,962.98 and 1,169.52 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,962.98 = 1,169.52 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,962.98 = 1,169.52/x
  3. Step 3: Cross multiply
    1,315.32x = 1,962.98 × 1,169.52
  4. Step 4: Simplify right side
    1,315.32x = 2,295,738.52
  5. Step 5: Solve for x
    x = 2,295,738.52/1,315.32
  6. Step 6: Final answer
    x = 1,745.38

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