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Finding the Fourth Proportional to 1,680.35, 2,503.63 and 1,586.03

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Solution

The fourth proportional to 1,680.35, 2,503.63 and 1,586.03 is: 2,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.35 : 2,503.63 = 1,586.03 : x
  2. Step 2: Convert to fraction form
    1,680.35/2,503.63 = 1,586.03/x
  3. Step 3: Cross multiply
    1,680.35x = 2,503.63 × 1,586.03
  4. Step 4: Simplify right side
    1,680.35x = 3,970,832.29
  5. Step 5: Solve for x
    x = 3,970,832.29/1,680.35
  6. Step 6: Final answer
    x = 2,363.10

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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.