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Finding the Fourth Proportional to 1,640.64, 2,264.08 and 977.50

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Solution

The fourth proportional to 1,640.64, 2,264.08 and 977.50 is: 1,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.64 : 2,264.08 = 977.50 : x
  2. Step 2: Convert to fraction form
    1,640.64/2,264.08 = 977.50/x
  3. Step 3: Cross multiply
    1,640.64x = 2,264.08 × 977.50
  4. Step 4: Simplify right side
    1,640.64x = 2,213,138.20
  5. Step 5: Solve for x
    x = 2,213,138.20/1,640.64
  6. Step 6: Final answer
    x = 1,348.95

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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.