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Finding the Fourth Proportional to 1,994.86, 2,992.06 and 534.16

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Solution

The fourth proportional to 1,994.86, 2,992.06 and 534.16 is: 801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.86 : 2,992.06 = 534.16 : x
  2. Step 2: Convert to fraction form
    1,994.86/2,992.06 = 534.16/x
  3. Step 3: Cross multiply
    1,994.86x = 2,992.06 × 534.16
  4. Step 4: Simplify right side
    1,994.86x = 1,598,238.77
  5. Step 5: Solve for x
    x = 1,598,238.77/1,994.86
  6. Step 6: Final answer
    x = 801.18

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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.