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Finding the Fourth Proportional to 1,473.76, 2,033.08 and 884.18

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Solution

The fourth proportional to 1,473.76, 2,033.08 and 884.18 is: 1,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.76 : 2,033.08 = 884.18 : x
  2. Step 2: Convert to fraction form
    1,473.76/2,033.08 = 884.18/x
  3. Step 3: Cross multiply
    1,473.76x = 2,033.08 × 884.18
  4. Step 4: Simplify right side
    1,473.76x = 1,797,608.67
  5. Step 5: Solve for x
    x = 1,797,608.67/1,473.76
  6. Step 6: Final answer
    x = 1,219.74

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1.5x scale

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.