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Finding the Fourth Proportional to 1,510.12, 2,261.52 and 767.78

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Solution

The fourth proportional to 1,510.12, 2,261.52 and 767.78 is: 1,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.12 : 2,261.52 = 767.78 : x
  2. Step 2: Convert to fraction form
    1,510.12/2,261.52 = 767.78/x
  3. Step 3: Cross multiply
    1,510.12x = 2,261.52 × 767.78
  4. Step 4: Simplify right side
    1,510.12x = 1,736,334.68
  5. Step 5: Solve for x
    x = 1,736,334.68/1,510.12
  6. Step 6: Final answer
    x = 1,149.80

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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.