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Finding the Fourth Proportional to 2,119.71, 3,166.54 and 1,529.67

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Solution

The fourth proportional to 2,119.71, 3,166.54 and 1,529.67 is: 2,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.71 : 3,166.54 = 1,529.67 : x
  2. Step 2: Convert to fraction form
    2,119.71/3,166.54 = 1,529.67/x
  3. Step 3: Cross multiply
    2,119.71x = 3,166.54 × 1,529.67
  4. Step 4: Simplify right side
    2,119.71x = 4,843,761.24
  5. Step 5: Solve for x
    x = 4,843,761.24/2,119.71
  6. Step 6: Final answer
    x = 2,285.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.