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Finding the Fourth Proportional to 2,343.90, 3,515.89 and 700.47

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Solution

The fourth proportional to 2,343.90, 3,515.89 and 700.47 is: 1,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.90 : 3,515.89 = 700.47 : x
  2. Step 2: Convert to fraction form
    2,343.90/3,515.89 = 700.47/x
  3. Step 3: Cross multiply
    2,343.90x = 3,515.89 × 700.47
  4. Step 4: Simplify right side
    2,343.90x = 2,462,775.47
  5. Step 5: Solve for x
    x = 2,462,775.47/2,343.90
  6. Step 6: Final answer
    x = 1,050.72

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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.