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Finding the Fourth Proportional to 1,680.65, 2,523.71 and 1,035.48

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Solution

The fourth proportional to 1,680.65, 2,523.71 and 1,035.48 is: 1,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.65 : 2,523.71 = 1,035.48 : x
  2. Step 2: Convert to fraction form
    1,680.65/2,523.71 = 1,035.48/x
  3. Step 3: Cross multiply
    1,680.65x = 2,523.71 × 1,035.48
  4. Step 4: Simplify right side
    1,680.65x = 2,613,257.46
  5. Step 5: Solve for x
    x = 2,613,257.46/1,680.65
  6. Step 6: Final answer
    x = 1,554.91

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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.