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Finding the Fourth Proportional to 1,640.67, 2,264.33 and 977.52

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Solution

The fourth proportional to 1,640.67, 2,264.33 and 977.52 is: 1,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.67 : 2,264.33 = 977.52 : x
  2. Step 2: Convert to fraction form
    1,640.67/2,264.33 = 977.52/x
  3. Step 3: Cross multiply
    1,640.67x = 2,264.33 × 977.52
  4. Step 4: Simplify right side
    1,640.67x = 2,213,427.86
  5. Step 5: Solve for x
    x = 2,213,427.86/1,640.67
  6. Step 6: Final answer
    x = 1,349.10

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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.