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Finding the Fourth Proportional to 2,473.83, 3,708.54 and 935.91

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Solution

The fourth proportional to 2,473.83, 3,708.54 and 935.91 is: 1,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.83 : 3,708.54 = 935.91 : x
  2. Step 2: Convert to fraction form
    2,473.83/3,708.54 = 935.91/x
  3. Step 3: Cross multiply
    2,473.83x = 3,708.54 × 935.91
  4. Step 4: Simplify right side
    2,473.83x = 3,470,859.67
  5. Step 5: Solve for x
    x = 3,470,859.67/2,473.83
  6. Step 6: Final answer
    x = 1,403.03

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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.