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Finding the Fourth Proportional to 3,140.69, 4,706.63 and 2,360.19

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Solution

The fourth proportional to 3,140.69, 4,706.63 and 2,360.19 is: 3,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.69 : 4,706.63 = 2,360.19 : x
  2. Step 2: Convert to fraction form
    3,140.69/4,706.63 = 2,360.19/x
  3. Step 3: Cross multiply
    3,140.69x = 4,706.63 × 2,360.19
  4. Step 4: Simplify right side
    3,140.69x = 11,108,523.39
  5. Step 5: Solve for x
    x = 11,108,523.39/3,140.69
  6. Step 6: Final answer
    x = 3,536.97

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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.