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Finding the Fourth Proportional to 3,415.74, 5,122.02 and 1,223.88

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Solution

The fourth proportional to 3,415.74, 5,122.02 and 1,223.88 is: 1,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.74 : 5,122.02 = 1,223.88 : x
  2. Step 2: Convert to fraction form
    3,415.74/5,122.02 = 1,223.88/x
  3. Step 3: Cross multiply
    3,415.74x = 5,122.02 × 1,223.88
  4. Step 4: Simplify right side
    3,415.74x = 6,268,737.84
  5. Step 5: Solve for x
    x = 6,268,737.84/3,415.74
  6. Step 6: Final answer
    x = 1,835.25

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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.