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Finding the Fourth Proportional to 3,097.61, 4,644.99 and 1,341.80

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Solution

The fourth proportional to 3,097.61, 4,644.99 and 1,341.80 is: 2,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.61 : 4,644.99 = 1,341.80 : x
  2. Step 2: Convert to fraction form
    3,097.61/4,644.99 = 1,341.80/x
  3. Step 3: Cross multiply
    3,097.61x = 4,644.99 × 1,341.80
  4. Step 4: Simplify right side
    3,097.61x = 6,232,647.58
  5. Step 5: Solve for x
    x = 6,232,647.58/3,097.61
  6. Step 6: Final answer
    x = 2,012.08

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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.