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Finding the Fourth Proportional to 2,360.34, 3,522.84 and 2,204.82

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Solution

The fourth proportional to 2,360.34, 3,522.84 and 2,204.82 is: 3,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.34 : 3,522.84 = 2,204.82 : x
  2. Step 2: Convert to fraction form
    2,360.34/3,522.84 = 2,204.82/x
  3. Step 3: Cross multiply
    2,360.34x = 3,522.84 × 2,204.82
  4. Step 4: Simplify right side
    2,360.34x = 7,767,228.09
  5. Step 5: Solve for x
    x = 7,767,228.09/2,360.34
  6. Step 6: Final answer
    x = 3,290.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.