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Finding the Fourth Proportional to 2,144.34, 2,951.64 and 2,061.32

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Solution

The fourth proportional to 2,144.34, 2,951.64 and 2,061.32 is: 2,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.34 : 2,951.64 = 2,061.32 : x
  2. Step 2: Convert to fraction form
    2,144.34/2,951.64 = 2,061.32/x
  3. Step 3: Cross multiply
    2,144.34x = 2,951.64 × 2,061.32
  4. Step 4: Simplify right side
    2,144.34x = 6,084,259.81
  5. Step 5: Solve for x
    x = 6,084,259.81/2,144.34
  6. Step 6: Final answer
    x = 2,837.36

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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.