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Finding the Fourth Proportional to 3,123.17, 4,310.01 and 1,706.84

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Solution

The fourth proportional to 3,123.17, 4,310.01 and 1,706.84 is: 2,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.17 : 4,310.01 = 1,706.84 : x
  2. Step 2: Convert to fraction form
    3,123.17/4,310.01 = 1,706.84/x
  3. Step 3: Cross multiply
    3,123.17x = 4,310.01 × 1,706.84
  4. Step 4: Simplify right side
    3,123.17x = 7,356,497.47
  5. Step 5: Solve for x
    x = 7,356,497.47/3,123.17
  6. Step 6: Final answer
    x = 2,355.46

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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.