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Finding the Fourth Proportional to 3,073.84, 4,609.40 and 882.06

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Solution

The fourth proportional to 3,073.84, 4,609.40 and 882.06 is: 1,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.84 : 4,609.40 = 882.06 : x
  2. Step 2: Convert to fraction form
    3,073.84/4,609.40 = 882.06/x
  3. Step 3: Cross multiply
    3,073.84x = 4,609.40 × 882.06
  4. Step 4: Simplify right side
    3,073.84x = 4,065,767.36
  5. Step 5: Solve for x
    x = 4,065,767.36/3,073.84
  6. Step 6: Final answer
    x = 1,322.70

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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.