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Finding the Fourth Proportional to 2,905.77, 4,358.65 and 825.74

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Solution

The fourth proportional to 2,905.77, 4,358.65 and 825.74 is: 1,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.77 : 4,358.65 = 825.74 : x
  2. Step 2: Convert to fraction form
    2,905.77/4,358.65 = 825.74/x
  3. Step 3: Cross multiply
    2,905.77x = 4,358.65 × 825.74
  4. Step 4: Simplify right side
    2,905.77x = 3,599,111.65
  5. Step 5: Solve for x
    x = 3,599,111.65/2,905.77
  6. Step 6: Final answer
    x = 1,238.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.