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Finding the Fourth Proportional to 1,977.58, 2,966.71 and 808.22

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Solution

The fourth proportional to 1,977.58, 2,966.71 and 808.22 is: 1,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.58 : 2,966.71 = 808.22 : x
  2. Step 2: Convert to fraction form
    1,977.58/2,966.71 = 808.22/x
  3. Step 3: Cross multiply
    1,977.58x = 2,966.71 × 808.22
  4. Step 4: Simplify right side
    1,977.58x = 2,397,737.50
  5. Step 5: Solve for x
    x = 2,397,737.50/1,977.58
  6. Step 6: Final answer
    x = 1,212.46

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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.