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Finding the Fourth Proportional to 1,392.64, 2,089.42 and 1,199.46

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Solution

The fourth proportional to 1,392.64, 2,089.42 and 1,199.46 is: 1,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.64 : 2,089.42 = 1,199.46 : x
  2. Step 2: Convert to fraction form
    1,392.64/2,089.42 = 1,199.46/x
  3. Step 3: Cross multiply
    1,392.64x = 2,089.42 × 1,199.46
  4. Step 4: Simplify right side
    1,392.64x = 2,506,175.71
  5. Step 5: Solve for x
    x = 2,506,175.71/1,392.64
  6. Step 6: Final answer
    x = 1,799.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.