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Finding the Fourth Proportional to 1,916.82, 2,873.77 and 991.79

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Solution

The fourth proportional to 1,916.82, 2,873.77 and 991.79 is: 1,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.82 : 2,873.77 = 991.79 : x
  2. Step 2: Convert to fraction form
    1,916.82/2,873.77 = 991.79/x
  3. Step 3: Cross multiply
    1,916.82x = 2,873.77 × 991.79
  4. Step 4: Simplify right side
    1,916.82x = 2,850,176.35
  5. Step 5: Solve for x
    x = 2,850,176.35/1,916.82
  6. Step 6: Final answer
    x = 1,486.93

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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.