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Finding the Fourth Proportional to 2,367.52, 3,267.14 and 1,319.64

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Solution

The fourth proportional to 2,367.52, 3,267.14 and 1,319.64 is: 1,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.52 : 3,267.14 = 1,319.64 : x
  2. Step 2: Convert to fraction form
    2,367.52/3,267.14 = 1,319.64/x
  3. Step 3: Cross multiply
    2,367.52x = 3,267.14 × 1,319.64
  4. Step 4: Simplify right side
    2,367.52x = 4,311,448.63
  5. Step 5: Solve for x
    x = 4,311,448.63/2,367.52
  6. Step 6: Final answer
    x = 1,821.08

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1.5x scale

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.