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Finding the Fourth Proportional to 1,640.53, 2,264.48 and 977.59

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Solution

The fourth proportional to 1,640.53, 2,264.48 and 977.59 is: 1,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.53 : 2,264.48 = 977.59 : x
  2. Step 2: Convert to fraction form
    1,640.53/2,264.48 = 977.59/x
  3. Step 3: Cross multiply
    1,640.53x = 2,264.48 × 977.59
  4. Step 4: Simplify right side
    1,640.53x = 2,213,733.00
  5. Step 5: Solve for x
    x = 2,213,733.00/1,640.53
  6. Step 6: Final answer
    x = 1,349.40

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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.