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Finding the Fourth Proportional to 1,612.08, 2,418.30 and 687.76

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Solution

The fourth proportional to 1,612.08, 2,418.30 and 687.76 is: 1,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.08 : 2,418.30 = 687.76 : x
  2. Step 2: Convert to fraction form
    1,612.08/2,418.30 = 687.76/x
  3. Step 3: Cross multiply
    1,612.08x = 2,418.30 × 687.76
  4. Step 4: Simplify right side
    1,612.08x = 1,663,210.01
  5. Step 5: Solve for x
    x = 1,663,210.01/1,612.08
  6. Step 6: Final answer
    x = 1,031.72

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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.