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Finding the Fourth Proportional to 1,411.68, 2,111.04 and 1,044.48

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Solution

The fourth proportional to 1,411.68, 2,111.04 and 1,044.48 is: 1,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.68 : 2,111.04 = 1,044.48 : x
  2. Step 2: Convert to fraction form
    1,411.68/2,111.04 = 1,044.48/x
  3. Step 3: Cross multiply
    1,411.68x = 2,111.04 × 1,044.48
  4. Step 4: Simplify right side
    1,411.68x = 2,204,939.06
  5. Step 5: Solve for x
    x = 2,204,939.06/1,411.68
  6. Step 6: Final answer
    x = 1,561.93

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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.