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Finding the Fourth Proportional to 1,511.46, 2,085.51 and 881.88

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Solution

The fourth proportional to 1,511.46, 2,085.51 and 881.88 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.46 : 2,085.51 = 881.88 : x
  2. Step 2: Convert to fraction form
    1,511.46/2,085.51 = 881.88/x
  3. Step 3: Cross multiply
    1,511.46x = 2,085.51 × 881.88
  4. Step 4: Simplify right side
    1,511.46x = 1,839,169.56
  5. Step 5: Solve for x
    x = 1,839,169.56/1,511.46
  6. Step 6: Final answer
    x = 1,216.82

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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.