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Finding the Fourth Proportional to 1,641.20, 2,264.49 and 977.94

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Solution

The fourth proportional to 1,641.20, 2,264.49 and 977.94 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.20 : 2,264.49 = 977.94 : x
  2. Step 2: Convert to fraction form
    1,641.20/2,264.49 = 977.94/x
  3. Step 3: Cross multiply
    1,641.20x = 2,264.49 × 977.94
  4. Step 4: Simplify right side
    1,641.20x = 2,214,535.35
  5. Step 5: Solve for x
    x = 2,214,535.35/1,641.20
  6. Step 6: Final answer
    x = 1,349.34

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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.