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Finding the Fourth Proportional to 2,699.94, 4,043.52 and 2,307.66

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Solution

The fourth proportional to 2,699.94, 4,043.52 and 2,307.66 is: 3,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.94 : 4,043.52 = 2,307.66 : x
  2. Step 2: Convert to fraction form
    2,699.94/4,043.52 = 2,307.66/x
  3. Step 3: Cross multiply
    2,699.94x = 4,043.52 × 2,307.66
  4. Step 4: Simplify right side
    2,699.94x = 9,331,069.36
  5. Step 5: Solve for x
    x = 9,331,069.36/2,699.94
  6. Step 6: Final answer
    x = 3,456.03

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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.