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Finding the Fourth Proportional to 2,319, 3,200.22 and 1,271.07

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Solution

The fourth proportional to 2,319, 3,200.22 and 1,271.07 is: 1,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319 : 3,200.22 = 1,271.07 : x
  2. Step 2: Convert to fraction form
    2,319/3,200.22 = 1,271.07/x
  3. Step 3: Cross multiply
    2,319x = 3,200.22 × 1,271.07
  4. Step 4: Simplify right side
    2,319x = 4,067,703.64
  5. Step 5: Solve for x
    x = 4,067,703.64/2,319
  6. Step 6: Final answer
    x = 1,754.08

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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.