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Finding the Fourth Proportional to 1,662.87, 2,293.89 and 1,269.21

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Solution

The fourth proportional to 1,662.87, 2,293.89 and 1,269.21 is: 1,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.87 : 2,293.89 = 1,269.21 : x
  2. Step 2: Convert to fraction form
    1,662.87/2,293.89 = 1,269.21/x
  3. Step 3: Cross multiply
    1,662.87x = 2,293.89 × 1,269.21
  4. Step 4: Simplify right side
    1,662.87x = 2,911,428.13
  5. Step 5: Solve for x
    x = 2,911,428.13/1,662.87
  6. Step 6: Final answer
    x = 1,750.85

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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.