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Finding the Fourth Proportional to 1,641.65, 2,264.34 and 1,144.10

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Solution

The fourth proportional to 1,641.65, 2,264.34 and 1,144.10 is: 1,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.65 : 2,264.34 = 1,144.10 : x
  2. Step 2: Convert to fraction form
    1,641.65/2,264.34 = 1,144.10/x
  3. Step 3: Cross multiply
    1,641.65x = 2,264.34 × 1,144.10
  4. Step 4: Simplify right side
    1,641.65x = 2,590,631.39
  5. Step 5: Solve for x
    x = 2,590,631.39/1,641.65
  6. Step 6: Final answer
    x = 1,578.07

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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.