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Finding the Fourth Proportional to 3,266.84, 4,902.70 and 1,536.68

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Solution

The fourth proportional to 3,266.84, 4,902.70 and 1,536.68 is: 2,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.84 : 4,902.70 = 1,536.68 : x
  2. Step 2: Convert to fraction form
    3,266.84/4,902.70 = 1,536.68/x
  3. Step 3: Cross multiply
    3,266.84x = 4,902.70 × 1,536.68
  4. Step 4: Simplify right side
    3,266.84x = 7,533,881.04
  5. Step 5: Solve for x
    x = 7,533,881.04/3,266.84
  6. Step 6: Final answer
    x = 2,306.17

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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.