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Finding the Fourth Proportional to 1,678.73, 2,312.15 and 1,362.83

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Solution

The fourth proportional to 1,678.73, 2,312.15 and 1,362.83 is: 1,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.73 : 2,312.15 = 1,362.83 : x
  2. Step 2: Convert to fraction form
    1,678.73/2,312.15 = 1,362.83/x
  3. Step 3: Cross multiply
    1,678.73x = 2,312.15 × 1,362.83
  4. Step 4: Simplify right side
    1,678.73x = 3,151,049.01
  5. Step 5: Solve for x
    x = 3,151,049.01/1,678.73
  6. Step 6: Final answer
    x = 1,877.05

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