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Finding the Fourth Proportional to 1,724.30, 2,585.16 and 683.45

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Solution

The fourth proportional to 1,724.30, 2,585.16 and 683.45 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.30 : 2,585.16 = 683.45 : x
  2. Step 2: Convert to fraction form
    1,724.30/2,585.16 = 683.45/x
  3. Step 3: Cross multiply
    1,724.30x = 2,585.16 × 683.45
  4. Step 4: Simplify right side
    1,724.30x = 1,766,814.68
  5. Step 5: Solve for x
    x = 1,766,814.68/1,724.30
  6. Step 6: Final answer
    x = 1,024.66

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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.