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Finding the Fourth Proportional to 3,160.65, 4,735.64 and 1,513.59

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Solution

The fourth proportional to 3,160.65, 4,735.64 and 1,513.59 is: 2,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.65 : 4,735.64 = 1,513.59 : x
  2. Step 2: Convert to fraction form
    3,160.65/4,735.64 = 1,513.59/x
  3. Step 3: Cross multiply
    3,160.65x = 4,735.64 × 1,513.59
  4. Step 4: Simplify right side
    3,160.65x = 7,167,809.78
  5. Step 5: Solve for x
    x = 7,167,809.78/3,160.65
  6. Step 6: Final answer
    x = 2,267.83

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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.