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Finding the Fourth Proportional to 1,507.97, 2,270.32 and 1,180.67

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Solution

The fourth proportional to 1,507.97, 2,270.32 and 1,180.67 is: 1,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.97 : 2,270.32 = 1,180.67 : x
  2. Step 2: Convert to fraction form
    1,507.97/2,270.32 = 1,180.67/x
  3. Step 3: Cross multiply
    1,507.97x = 2,270.32 × 1,180.67
  4. Step 4: Simplify right side
    1,507.97x = 2,680,484.41
  5. Step 5: Solve for x
    x = 2,680,484.41/1,507.97
  6. Step 6: Final answer
    x = 1,777.54

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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.