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Finding the Fourth Proportional to 2,358.69, 3,255.03 and 1,364.06

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Solution

The fourth proportional to 2,358.69, 3,255.03 and 1,364.06 is: 1,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.69 : 3,255.03 = 1,364.06 : x
  2. Step 2: Convert to fraction form
    2,358.69/3,255.03 = 1,364.06/x
  3. Step 3: Cross multiply
    2,358.69x = 3,255.03 × 1,364.06
  4. Step 4: Simplify right side
    2,358.69x = 4,440,039.95
  5. Step 5: Solve for x
    x = 4,440,039.95/2,358.69
  6. Step 6: Final answer
    x = 1,882.42

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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.