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Finding the Fourth Proportional to 3,103.84, 4,657.82 and 1,460.86

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Solution

The fourth proportional to 3,103.84, 4,657.82 and 1,460.86 is: 2,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.84 : 4,657.82 = 1,460.86 : x
  2. Step 2: Convert to fraction form
    3,103.84/4,657.82 = 1,460.86/x
  3. Step 3: Cross multiply
    3,103.84x = 4,657.82 × 1,460.86
  4. Step 4: Simplify right side
    3,103.84x = 6,804,419.13
  5. Step 5: Solve for x
    x = 6,804,419.13/3,103.84
  6. Step 6: Final answer
    x = 2,192.26

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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.