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Finding the Fourth Proportional to 2,335.83, 3,502.71 and 1,239.95

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Solution

The fourth proportional to 2,335.83, 3,502.71 and 1,239.95 is: 1,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.83 : 3,502.71 = 1,239.95 : x
  2. Step 2: Convert to fraction form
    2,335.83/3,502.71 = 1,239.95/x
  3. Step 3: Cross multiply
    2,335.83x = 3,502.71 × 1,239.95
  4. Step 4: Simplify right side
    2,335.83x = 4,343,167.75
  5. Step 5: Solve for x
    x = 4,343,167.75/2,335.83
  6. Step 6: Final answer
    x = 1,859.37

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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.