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Finding the Fourth Proportional to 1,869.78, 2,580.12 and 1,083.72

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Solution

The fourth proportional to 1,869.78, 2,580.12 and 1,083.72 is: 1,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.78 : 2,580.12 = 1,083.72 : x
  2. Step 2: Convert to fraction form
    1,869.78/2,580.12 = 1,083.72/x
  3. Step 3: Cross multiply
    1,869.78x = 2,580.12 × 1,083.72
  4. Step 4: Simplify right side
    1,869.78x = 2,796,127.65
  5. Step 5: Solve for x
    x = 2,796,127.65/1,869.78
  6. Step 6: Final answer
    x = 1,495.43

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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.