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Finding the Fourth Proportional to 3,001.38, 4,502.67 and 1,270

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Solution

The fourth proportional to 3,001.38, 4,502.67 and 1,270 is: 1,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.38 : 4,502.67 = 1,270 : x
  2. Step 2: Convert to fraction form
    3,001.38/4,502.67 = 1,270/x
  3. Step 3: Cross multiply
    3,001.38x = 4,502.67 × 1,270
  4. Step 4: Simplify right side
    3,001.38x = 5,718,390.90
  5. Step 5: Solve for x
    x = 5,718,390.90/3,001.38
  6. Step 6: Final answer
    x = 1,905.25

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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.