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Finding the Fourth Proportional to 4,340.66, 6,511.59 and 1,419.19

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Solution

The fourth proportional to 4,340.66, 6,511.59 and 1,419.19 is: 2,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.66 : 6,511.59 = 1,419.19 : x
  2. Step 2: Convert to fraction form
    4,340.66/6,511.59 = 1,419.19/x
  3. Step 3: Cross multiply
    4,340.66x = 6,511.59 × 1,419.19
  4. Step 4: Simplify right side
    4,340.66x = 9,241,167.13
  5. Step 5: Solve for x
    x = 9,241,167.13/4,340.66
  6. Step 6: Final answer
    x = 2,128.98

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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.