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Finding the Fourth Proportional to 2,358.94, 3,255.15 and 1,364.08

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Solution

The fourth proportional to 2,358.94, 3,255.15 and 1,364.08 is: 1,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.94 : 3,255.15 = 1,364.08 : x
  2. Step 2: Convert to fraction form
    2,358.94/3,255.15 = 1,364.08/x
  3. Step 3: Cross multiply
    2,358.94x = 3,255.15 × 1,364.08
  4. Step 4: Simplify right side
    2,358.94x = 4,440,285.01
  5. Step 5: Solve for x
    x = 4,440,285.01/2,358.94
  6. Step 6: Final answer
    x = 1,882.32

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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.