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Finding the Fourth Proportional to 2,335.62, 3,503.60 and 874.74

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Solution

The fourth proportional to 2,335.62, 3,503.60 and 874.74 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.62 : 3,503.60 = 874.74 : x
  2. Step 2: Convert to fraction form
    2,335.62/3,503.60 = 874.74/x
  3. Step 3: Cross multiply
    2,335.62x = 3,503.60 × 874.74
  4. Step 4: Simplify right side
    2,335.62x = 3,064,734.69
  5. Step 5: Solve for x
    x = 3,064,734.69/2,335.62
  6. Step 6: Final answer
    x = 1,312.17

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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.