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Finding the Fourth Proportional to 4,301, 6,451.74 and 1,223.24

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Solution

The fourth proportional to 4,301, 6,451.74 and 1,223.24 is: 1,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301 : 6,451.74 = 1,223.24 : x
  2. Step 2: Convert to fraction form
    4,301/6,451.74 = 1,223.24/x
  3. Step 3: Cross multiply
    4,301x = 6,451.74 × 1,223.24
  4. Step 4: Simplify right side
    4,301x = 7,892,026.44
  5. Step 5: Solve for x
    x = 7,892,026.44/4,301
  6. Step 6: Final answer
    x = 1,834.93

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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.