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Finding the Fourth Proportional to 1,316.47, 1,966.22 and 1,192.81

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Solution

The fourth proportional to 1,316.47, 1,966.22 and 1,192.81 is: 1,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.47 : 1,966.22 = 1,192.81 : x
  2. Step 2: Convert to fraction form
    1,316.47/1,966.22 = 1,192.81/x
  3. Step 3: Cross multiply
    1,316.47x = 1,966.22 × 1,192.81
  4. Step 4: Simplify right side
    1,316.47x = 2,345,326.88
  5. Step 5: Solve for x
    x = 2,345,326.88/1,316.47
  6. Step 6: Final answer
    x = 1,781.53

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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.