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Finding the Fourth Proportional to 1,641.22, 2,264.37 and 977.86

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Solution

The fourth proportional to 1,641.22, 2,264.37 and 977.86 is: 1,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.22 : 2,264.37 = 977.86 : x
  2. Step 2: Convert to fraction form
    1,641.22/2,264.37 = 977.86/x
  3. Step 3: Cross multiply
    1,641.22x = 2,264.37 × 977.86
  4. Step 4: Simplify right side
    1,641.22x = 2,214,236.85
  5. Step 5: Solve for x
    x = 2,214,236.85/1,641.22
  6. Step 6: Final answer
    x = 1,349.14

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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.