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Finding the Fourth Proportional to 2,391.57, 3,587.36 and 910.44

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Solution

The fourth proportional to 2,391.57, 3,587.36 and 910.44 is: 1,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.57 : 3,587.36 = 910.44 : x
  2. Step 2: Convert to fraction form
    2,391.57/3,587.36 = 910.44/x
  3. Step 3: Cross multiply
    2,391.57x = 3,587.36 × 910.44
  4. Step 4: Simplify right side
    2,391.57x = 3,266,071.49
  5. Step 5: Solve for x
    x = 3,266,071.49/2,391.57
  6. Step 6: Final answer
    x = 1,365.66

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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.