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Finding the Fourth Proportional to 1,994.85, 2,752.92 and 1,155.60

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Solution

The fourth proportional to 1,994.85, 2,752.92 and 1,155.60 is: 1,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.85 : 2,752.92 = 1,155.60 : x
  2. Step 2: Convert to fraction form
    1,994.85/2,752.92 = 1,155.60/x
  3. Step 3: Cross multiply
    1,994.85x = 2,752.92 × 1,155.60
  4. Step 4: Simplify right side
    1,994.85x = 3,181,274.35
  5. Step 5: Solve for x
    x = 3,181,274.35/1,994.85
  6. Step 6: Final answer
    x = 1,594.74

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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.