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Finding the Fourth Proportional to 2,335.13, 3,503.01 and 874.13

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Solution

The fourth proportional to 2,335.13, 3,503.01 and 874.13 is: 1,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.13 : 3,503.01 = 874.13 : x
  2. Step 2: Convert to fraction form
    2,335.13/3,503.01 = 874.13/x
  3. Step 3: Cross multiply
    2,335.13x = 3,503.01 × 874.13
  4. Step 4: Simplify right side
    2,335.13x = 3,062,071.89
  5. Step 5: Solve for x
    x = 3,062,071.89/2,335.13
  6. Step 6: Final answer
    x = 1,311.31

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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.