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Finding the Fourth Proportional to 3,102.76, 4,281.84 and 1,705.52

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Solution

The fourth proportional to 3,102.76, 4,281.84 and 1,705.52 is: 2,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,281.84 = 1,705.52 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,281.84 = 1,705.52/x
  3. Step 3: Cross multiply
    3,102.76x = 4,281.84 × 1,705.52
  4. Step 4: Simplify right side
    3,102.76x = 7,302,763.76
  5. Step 5: Solve for x
    x = 7,302,763.76/3,102.76
  6. Step 6: Final answer
    x = 2,353.63

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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.