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Finding the Fourth Proportional to 2,204.40, 3,306.59 and 560.94

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Solution

The fourth proportional to 2,204.40, 3,306.59 and 560.94 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.40 : 3,306.59 = 560.94 : x
  2. Step 2: Convert to fraction form
    2,204.40/3,306.59 = 560.94/x
  3. Step 3: Cross multiply
    2,204.40x = 3,306.59 × 560.94
  4. Step 4: Simplify right side
    2,204.40x = 1,854,798.59
  5. Step 5: Solve for x
    x = 1,854,798.59/2,204.40
  6. Step 6: Final answer
    x = 841.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.