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Finding the Fourth Proportional to 1,275.65, 1,923.16 and 1,196.47

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Solution

The fourth proportional to 1,275.65, 1,923.16 and 1,196.47 is: 1,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.65 : 1,923.16 = 1,196.47 : x
  2. Step 2: Convert to fraction form
    1,275.65/1,923.16 = 1,196.47/x
  3. Step 3: Cross multiply
    1,275.65x = 1,923.16 × 1,196.47
  4. Step 4: Simplify right side
    1,275.65x = 2,301,004.90
  5. Step 5: Solve for x
    x = 2,301,004.90/1,275.65
  6. Step 6: Final answer
    x = 1,803.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.