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Finding the Fourth Proportional to 1,641.24, 2,264.19 and 1,109.94

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Solution

The fourth proportional to 1,641.24, 2,264.19 and 1,109.94 is: 1,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.24 : 2,264.19 = 1,109.94 : x
  2. Step 2: Convert to fraction form
    1,641.24/2,264.19 = 1,109.94/x
  3. Step 3: Cross multiply
    1,641.24x = 2,264.19 × 1,109.94
  4. Step 4: Simplify right side
    1,641.24x = 2,513,106.50
  5. Step 5: Solve for x
    x = 2,513,106.50/1,641.24
  6. Step 6: Final answer
    x = 1,531.22

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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.