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Finding the Fourth Proportional to 2,358.95, 3,255.41 and 1,364.54

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Solution

The fourth proportional to 2,358.95, 3,255.41 and 1,364.54 is: 1,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.95 : 3,255.41 = 1,364.54 : x
  2. Step 2: Convert to fraction form
    2,358.95/3,255.41 = 1,364.54/x
  3. Step 3: Cross multiply
    2,358.95x = 3,255.41 × 1,364.54
  4. Step 4: Simplify right side
    2,358.95x = 4,442,124.30
  5. Step 5: Solve for x
    x = 4,442,124.30/2,358.95
  6. Step 6: Final answer
    x = 1,883.10

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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.