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Finding the Fourth Proportional to 2,343.69, 3,515.94 and 1,045.11

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Solution

The fourth proportional to 2,343.69, 3,515.94 and 1,045.11 is: 1,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.69 : 3,515.94 = 1,045.11 : x
  2. Step 2: Convert to fraction form
    2,343.69/3,515.94 = 1,045.11/x
  3. Step 3: Cross multiply
    2,343.69x = 3,515.94 × 1,045.11
  4. Step 4: Simplify right side
    2,343.69x = 3,674,544.05
  5. Step 5: Solve for x
    x = 3,674,544.05/2,343.69
  6. Step 6: Final answer
    x = 1,567.85

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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.