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Finding the Fourth Proportional to 2,364.78, 3,264.02 and 1,369.94

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Solution

The fourth proportional to 2,364.78, 3,264.02 and 1,369.94 is: 1,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.78 : 3,264.02 = 1,369.94 : x
  2. Step 2: Convert to fraction form
    2,364.78/3,264.02 = 1,369.94/x
  3. Step 3: Cross multiply
    2,364.78x = 3,264.02 × 1,369.94
  4. Step 4: Simplify right side
    2,364.78x = 4,471,488.39
  5. Step 5: Solve for x
    x = 4,471,488.39/2,364.78
  6. Step 6: Final answer
    x = 1,890.87

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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.