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Finding the Fourth Proportional to 3,140.69, 4,333.91 and 1,813.50

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Solution

The fourth proportional to 3,140.69, 4,333.91 and 1,813.50 is: 2,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.69 : 4,333.91 = 1,813.50 : x
  2. Step 2: Convert to fraction form
    3,140.69/4,333.91 = 1,813.50/x
  3. Step 3: Cross multiply
    3,140.69x = 4,333.91 × 1,813.50
  4. Step 4: Simplify right side
    3,140.69x = 7,859,536.72
  5. Step 5: Solve for x
    x = 7,859,536.72/3,140.69
  6. Step 6: Final answer
    x = 2,502.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.