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Finding the Fourth Proportional to 2,152.02, 3,228.45 and 835.76

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Solution

The fourth proportional to 2,152.02, 3,228.45 and 835.76 is: 1,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.02 : 3,228.45 = 835.76 : x
  2. Step 2: Convert to fraction form
    2,152.02/3,228.45 = 835.76/x
  3. Step 3: Cross multiply
    2,152.02x = 3,228.45 × 835.76
  4. Step 4: Simplify right side
    2,152.02x = 2,698,209.37
  5. Step 5: Solve for x
    x = 2,698,209.37/2,152.02
  6. Step 6: Final answer
    x = 1,253.80

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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.