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Finding the Fourth Proportional to 3,002.67, 4,507.65 and 1,911.60

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Solution

The fourth proportional to 3,002.67, 4,507.65 and 1,911.60 is: 2,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.67 : 4,507.65 = 1,911.60 : x
  2. Step 2: Convert to fraction form
    3,002.67/4,507.65 = 1,911.60/x
  3. Step 3: Cross multiply
    3,002.67x = 4,507.65 × 1,911.60
  4. Step 4: Simplify right side
    3,002.67x = 8,616,823.74
  5. Step 5: Solve for x
    x = 8,616,823.74/3,002.67
  6. Step 6: Final answer
    x = 2,869.72

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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.