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Finding the Fourth Proportional to 1,921.61, 2,657.00 and 1,832.92

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Solution

The fourth proportional to 1,921.61, 2,657.00 and 1,832.92 is: 2,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.61 : 2,657.00 = 1,832.92 : x
  2. Step 2: Convert to fraction form
    1,921.61/2,657.00 = 1,832.92/x
  3. Step 3: Cross multiply
    1,921.61x = 2,657.00 × 1,832.92
  4. Step 4: Simplify right side
    1,921.61x = 4,870,066.38
  5. Step 5: Solve for x
    x = 4,870,066.38/1,921.61
  6. Step 6: Final answer
    x = 2,534.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.