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Finding the Fourth Proportional to 2,496.67, 3,746.46 and 937.77

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Solution

The fourth proportional to 2,496.67, 3,746.46 and 937.77 is: 1,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.67 : 3,746.46 = 937.77 : x
  2. Step 2: Convert to fraction form
    2,496.67/3,746.46 = 937.77/x
  3. Step 3: Cross multiply
    2,496.67x = 3,746.46 × 937.77
  4. Step 4: Simplify right side
    2,496.67x = 3,513,317.79
  5. Step 5: Solve for x
    x = 3,513,317.79/2,496.67
  6. Step 6: Final answer
    x = 1,407.20

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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.