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Finding the Fourth Proportional to 2,360.57, 3,535.99 and 1,384.31

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Solution

The fourth proportional to 2,360.57, 3,535.99 and 1,384.31 is: 2,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.57 : 3,535.99 = 1,384.31 : x
  2. Step 2: Convert to fraction form
    2,360.57/3,535.99 = 1,384.31/x
  3. Step 3: Cross multiply
    2,360.57x = 3,535.99 × 1,384.31
  4. Step 4: Simplify right side
    2,360.57x = 4,894,911.70
  5. Step 5: Solve for x
    x = 4,894,911.70/2,360.57
  6. Step 6: Final answer
    x = 2,073.62

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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.