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Finding the Fourth Proportional to 2,204.47, 3,306.69 and 561.00

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Solution

The fourth proportional to 2,204.47, 3,306.69 and 561.00 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.47 : 3,306.69 = 561.00 : x
  2. Step 2: Convert to fraction form
    2,204.47/3,306.69 = 561.00/x
  3. Step 3: Cross multiply
    2,204.47x = 3,306.69 × 561.00
  4. Step 4: Simplify right side
    2,204.47x = 1,855,065.49
  5. Step 5: Solve for x
    x = 1,855,065.49/2,204.47
  6. Step 6: Final answer
    x = 841.50

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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.