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Finding the Fourth Proportional to 2,366.26, 3,263.82 and 1,868.10

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Solution

The fourth proportional to 2,366.26, 3,263.82 and 1,868.10 is: 2,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.26 : 3,263.82 = 1,868.10 : x
  2. Step 2: Convert to fraction form
    2,366.26/3,263.82 = 1,868.10/x
  3. Step 3: Cross multiply
    2,366.26x = 3,263.82 × 1,868.10
  4. Step 4: Simplify right side
    2,366.26x = 6,097,142.14
  5. Step 5: Solve for x
    x = 6,097,142.14/2,366.26
  6. Step 6: Final answer
    x = 2,576.70

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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.