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Finding the Fourth Proportional to 2,036.67, 3,048.09 and 1,257.17

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Solution

The fourth proportional to 2,036.67, 3,048.09 and 1,257.17 is: 1,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.67 : 3,048.09 = 1,257.17 : x
  2. Step 2: Convert to fraction form
    2,036.67/3,048.09 = 1,257.17/x
  3. Step 3: Cross multiply
    2,036.67x = 3,048.09 × 1,257.17
  4. Step 4: Simplify right side
    2,036.67x = 3,831,967.31
  5. Step 5: Solve for x
    x = 3,831,967.31/2,036.67
  6. Step 6: Final answer
    x = 1,881.49

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Why These Related Problems?

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