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Finding the Fourth Proportional to 1,994.38, 2,991.57 and 898.15

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Solution

The fourth proportional to 1,994.38, 2,991.57 and 898.15 is: 1,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.38 : 2,991.57 = 898.15 : x
  2. Step 2: Convert to fraction form
    1,994.38/2,991.57 = 898.15/x
  3. Step 3: Cross multiply
    1,994.38x = 2,991.57 × 898.15
  4. Step 4: Simplify right side
    1,994.38x = 2,686,878.60
  5. Step 5: Solve for x
    x = 2,686,878.60/1,994.38
  6. Step 6: Final answer
    x = 1,347.23

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1.5x scale

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.