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Finding the Fourth Proportional to 1,460.78, 2,192.49 and 767.90

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Solution

The fourth proportional to 1,460.78, 2,192.49 and 767.90 is: 1,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.78 : 2,192.49 = 767.90 : x
  2. Step 2: Convert to fraction form
    1,460.78/2,192.49 = 767.90/x
  3. Step 3: Cross multiply
    1,460.78x = 2,192.49 × 767.90
  4. Step 4: Simplify right side
    1,460.78x = 1,683,613.07
  5. Step 5: Solve for x
    x = 1,683,613.07/1,460.78
  6. Step 6: Final answer
    x = 1,152.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.