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Finding the Fourth Proportional to 2,414.84, 3,620.08 and 875.48

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Solution

The fourth proportional to 2,414.84, 3,620.08 and 875.48 is: 1,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.84 : 3,620.08 = 875.48 : x
  2. Step 2: Convert to fraction form
    2,414.84/3,620.08 = 875.48/x
  3. Step 3: Cross multiply
    2,414.84x = 3,620.08 × 875.48
  4. Step 4: Simplify right side
    2,414.84x = 3,169,307.64
  5. Step 5: Solve for x
    x = 3,169,307.64/2,414.84
  6. Step 6: Final answer
    x = 1,312.43

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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.