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Finding the Fourth Proportional to 3,097.80, 4,647.22 and 1,537.88

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Solution

The fourth proportional to 3,097.80, 4,647.22 and 1,537.88 is: 2,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.80 : 4,647.22 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    3,097.80/4,647.22 = 1,537.88/x
  3. Step 3: Cross multiply
    3,097.80x = 4,647.22 × 1,537.88
  4. Step 4: Simplify right side
    3,097.80x = 7,146,866.69
  5. Step 5: Solve for x
    x = 7,146,866.69/3,097.80
  6. Step 6: Final answer
    x = 2,307.08

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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.