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Finding the Fourth Proportional to 2,191.32, 3,023.64 and 1,259.64

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Solution

The fourth proportional to 2,191.32, 3,023.64 and 1,259.64 is: 1,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.32 : 3,023.64 = 1,259.64 : x
  2. Step 2: Convert to fraction form
    2,191.32/3,023.64 = 1,259.64/x
  3. Step 3: Cross multiply
    2,191.32x = 3,023.64 × 1,259.64
  4. Step 4: Simplify right side
    2,191.32x = 3,808,697.89
  5. Step 5: Solve for x
    x = 3,808,697.89/2,191.32
  6. Step 6: Final answer
    x = 1,738.08

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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.