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Finding the Fourth Proportional to 4,307.01, 6,460.38 and 1,229.01

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Solution

The fourth proportional to 4,307.01, 6,460.38 and 1,229.01 is: 1,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.01 : 6,460.38 = 1,229.01 : x
  2. Step 2: Convert to fraction form
    4,307.01/6,460.38 = 1,229.01/x
  3. Step 3: Cross multiply
    4,307.01x = 6,460.38 × 1,229.01
  4. Step 4: Simplify right side
    4,307.01x = 7,939,871.62
  5. Step 5: Solve for x
    x = 7,939,871.62/4,307.01
  6. Step 6: Final answer
    x = 1,843.48

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