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Finding the Fourth Proportional to 1,641.16, 2,264.73 and 895.08

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Solution

The fourth proportional to 1,641.16, 2,264.73 and 895.08 is: 1,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.16 : 2,264.73 = 895.08 : x
  2. Step 2: Convert to fraction form
    1,641.16/2,264.73 = 895.08/x
  3. Step 3: Cross multiply
    1,641.16x = 2,264.73 × 895.08
  4. Step 4: Simplify right side
    1,641.16x = 2,027,119.66
  5. Step 5: Solve for x
    x = 2,027,119.66/1,641.16
  6. Step 6: Final answer
    x = 1,235.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.