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Finding the Fourth Proportional to 1,528.71, 2,106.47 and 1,174.61

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Solution

The fourth proportional to 1,528.71, 2,106.47 and 1,174.61 is: 1,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.71 : 2,106.47 = 1,174.61 : x
  2. Step 2: Convert to fraction form
    1,528.71/2,106.47 = 1,174.61/x
  3. Step 3: Cross multiply
    1,528.71x = 2,106.47 × 1,174.61
  4. Step 4: Simplify right side
    1,528.71x = 2,474,280.73
  5. Step 5: Solve for x
    x = 2,474,280.73/1,528.71
  6. Step 6: Final answer
    x = 1,618.54

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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.