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Finding the Fourth Proportional to 1,395.33, 1,924.83 and 835.53

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Solution

The fourth proportional to 1,395.33, 1,924.83 and 835.53 is: 1,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.33 : 1,924.83 = 835.53 : x
  2. Step 2: Convert to fraction form
    1,395.33/1,924.83 = 835.53/x
  3. Step 3: Cross multiply
    1,395.33x = 1,924.83 × 835.53
  4. Step 4: Simplify right side
    1,395.33x = 1,608,253.21
  5. Step 5: Solve for x
    x = 1,608,253.21/1,395.33
  6. Step 6: Final answer
    x = 1,152.60

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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.