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Finding the Fourth Proportional to 2,191.66, 3,288.75 and 893.14

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Solution

The fourth proportional to 2,191.66, 3,288.75 and 893.14 is: 1,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.66 : 3,288.75 = 893.14 : x
  2. Step 2: Convert to fraction form
    2,191.66/3,288.75 = 893.14/x
  3. Step 3: Cross multiply
    2,191.66x = 3,288.75 × 893.14
  4. Step 4: Simplify right side
    2,191.66x = 2,937,314.18
  5. Step 5: Solve for x
    x = 2,937,314.18/2,191.66
  6. Step 6: Final answer
    x = 1,340.22

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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.