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Finding the Fourth Proportional to 2,973.82, 4,460.96 and 893.66

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Solution

The fourth proportional to 2,973.82, 4,460.96 and 893.66 is: 1,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.82 : 4,460.96 = 893.66 : x
  2. Step 2: Convert to fraction form
    2,973.82/4,460.96 = 893.66/x
  3. Step 3: Cross multiply
    2,973.82x = 4,460.96 × 893.66
  4. Step 4: Simplify right side
    2,973.82x = 3,986,581.51
  5. Step 5: Solve for x
    x = 3,986,581.51/2,973.82
  6. Step 6: Final answer
    x = 1,340.56

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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.