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Finding the Fourth Proportional to 2,384.35, 3,562.41 and 2,302.59

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Solution

The fourth proportional to 2,384.35, 3,562.41 and 2,302.59 is: 3,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.35 : 3,562.41 = 2,302.59 : x
  2. Step 2: Convert to fraction form
    2,384.35/3,562.41 = 2,302.59/x
  3. Step 3: Cross multiply
    2,384.35x = 3,562.41 × 2,302.59
  4. Step 4: Simplify right side
    2,384.35x = 8,202,769.64
  5. Step 5: Solve for x
    x = 8,202,769.64/2,384.35
  6. Step 6: Final answer
    x = 3,440.26

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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.