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Finding the Fourth Proportional to 2,513.69, 3,770.62 and 953.80

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Solution

The fourth proportional to 2,513.69, 3,770.62 and 953.80 is: 1,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.69 : 3,770.62 = 953.80 : x
  2. Step 2: Convert to fraction form
    2,513.69/3,770.62 = 953.80/x
  3. Step 3: Cross multiply
    2,513.69x = 3,770.62 × 953.80
  4. Step 4: Simplify right side
    2,513.69x = 3,596,412.59
  5. Step 5: Solve for x
    x = 3,596,412.59/2,513.69
  6. Step 6: Final answer
    x = 1,430.73

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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.