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Finding the Fourth Proportional to 2,068.40, 3,102.70 and 835.66

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Solution

The fourth proportional to 2,068.40, 3,102.70 and 835.66 is: 1,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.40 : 3,102.70 = 835.66 : x
  2. Step 2: Convert to fraction form
    2,068.40/3,102.70 = 835.66/x
  3. Step 3: Cross multiply
    2,068.40x = 3,102.70 × 835.66
  4. Step 4: Simplify right side
    2,068.40x = 2,592,786.77
  5. Step 5: Solve for x
    x = 2,592,786.77/2,068.40
  6. Step 6: Final answer
    x = 1,253.52

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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.