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Finding the Fourth Proportional to 2,047.74, 3,073.18 and 1,501.36

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Solution

The fourth proportional to 2,047.74, 3,073.18 and 1,501.36 is: 2,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.74 : 3,073.18 = 1,501.36 : x
  2. Step 2: Convert to fraction form
    2,047.74/3,073.18 = 1,501.36/x
  3. Step 3: Cross multiply
    2,047.74x = 3,073.18 × 1,501.36
  4. Step 4: Simplify right side
    2,047.74x = 4,613,949.52
  5. Step 5: Solve for x
    x = 4,613,949.52/2,047.74
  6. Step 6: Final answer
    x = 2,253.19

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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.