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Finding the Fourth Proportional to 2,036.78, 2,806.72 and 1,445.66

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Solution

The fourth proportional to 2,036.78, 2,806.72 and 1,445.66 is: 1,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.78 : 2,806.72 = 1,445.66 : x
  2. Step 2: Convert to fraction form
    2,036.78/2,806.72 = 1,445.66/x
  3. Step 3: Cross multiply
    2,036.78x = 2,806.72 × 1,445.66
  4. Step 4: Simplify right side
    2,036.78x = 4,057,545.19
  5. Step 5: Solve for x
    x = 4,057,545.19/2,036.78
  6. Step 6: Final answer
    x = 1,992.14

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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.