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Finding the Fourth Proportional to 1,990.32, 2,986.65 and 894.72

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Solution

The fourth proportional to 1,990.32, 2,986.65 and 894.72 is: 1,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.32 : 2,986.65 = 894.72 : x
  2. Step 2: Convert to fraction form
    1,990.32/2,986.65 = 894.72/x
  3. Step 3: Cross multiply
    1,990.32x = 2,986.65 × 894.72
  4. Step 4: Simplify right side
    1,990.32x = 2,672,215.49
  5. Step 5: Solve for x
    x = 2,672,215.49/1,990.32
  6. Step 6: Final answer
    x = 1,342.61

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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.