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Finding the Fourth Proportional to 1,566.40, 2,350.02 and 835.39

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Solution

The fourth proportional to 1,566.40, 2,350.02 and 835.39 is: 1,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.40 : 2,350.02 = 835.39 : x
  2. Step 2: Convert to fraction form
    1,566.40/2,350.02 = 835.39/x
  3. Step 3: Cross multiply
    1,566.40x = 2,350.02 × 835.39
  4. Step 4: Simplify right side
    1,566.40x = 1,963,183.21
  5. Step 5: Solve for x
    x = 1,963,183.21/1,566.40
  6. Step 6: Final answer
    x = 1,253.31

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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.