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Finding the Fourth Proportional to 3,097.32, 4,646.67 and 1,538.18

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Solution

The fourth proportional to 3,097.32, 4,646.67 and 1,538.18 is: 2,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.32 : 4,646.67 = 1,538.18 : x
  2. Step 2: Convert to fraction form
    3,097.32/4,646.67 = 1,538.18/x
  3. Step 3: Cross multiply
    3,097.32x = 4,646.67 × 1,538.18
  4. Step 4: Simplify right side
    3,097.32x = 7,147,391.63
  5. Step 5: Solve for x
    x = 7,147,391.63/3,097.32
  6. Step 6: Final answer
    x = 2,307.61

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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.