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Finding the Fourth Proportional to 1,656.57, 2,478.66 and 1,638.12

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Solution

The fourth proportional to 1,656.57, 2,478.66 and 1,638.12 is: 2,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.57 : 2,478.66 = 1,638.12 : x
  2. Step 2: Convert to fraction form
    1,656.57/2,478.66 = 1,638.12/x
  3. Step 3: Cross multiply
    1,656.57x = 2,478.66 × 1,638.12
  4. Step 4: Simplify right side
    1,656.57x = 4,060,342.52
  5. Step 5: Solve for x
    x = 4,060,342.52/1,656.57
  6. Step 6: Final answer
    x = 2,451.05

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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.