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Finding the Fourth Proportional to 4,307.08, 6,460.86 and 1,229

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Solution

The fourth proportional to 4,307.08, 6,460.86 and 1,229 is: 1,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.08 : 6,460.86 = 1,229 : x
  2. Step 2: Convert to fraction form
    4,307.08/6,460.86 = 1,229/x
  3. Step 3: Cross multiply
    4,307.08x = 6,460.86 × 1,229
  4. Step 4: Simplify right side
    4,307.08x = 7,940,396.94
  5. Step 5: Solve for x
    x = 7,940,396.94/4,307.08
  6. Step 6: Final answer
    x = 1,843.57

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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.