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Finding the Fourth Proportional to 2,191.36, 3,024.32 and 1,259.84

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Solution

The fourth proportional to 2,191.36, 3,024.32 and 1,259.84 is: 1,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.36 : 3,024.32 = 1,259.84 : x
  2. Step 2: Convert to fraction form
    2,191.36/3,024.32 = 1,259.84/x
  3. Step 3: Cross multiply
    2,191.36x = 3,024.32 × 1,259.84
  4. Step 4: Simplify right side
    2,191.36x = 3,810,159.31
  5. Step 5: Solve for x
    x = 3,810,159.31/2,191.36
  6. Step 6: Final answer
    x = 1,738.72

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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.