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Finding the Fourth Proportional to 3,102.84, 4,281.98 and 1,705.64

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Solution

The fourth proportional to 3,102.84, 4,281.98 and 1,705.64 is: 2,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,281.98 = 1,705.64 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,281.98 = 1,705.64/x
  3. Step 3: Cross multiply
    3,102.84x = 4,281.98 × 1,705.64
  4. Step 4: Simplify right side
    3,102.84x = 7,303,516.37
  5. Step 5: Solve for x
    x = 7,303,516.37/3,102.84
  6. Step 6: Final answer
    x = 2,353.82

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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.