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Finding the Fourth Proportional to 1,833.14, 2,529.88 and 1,500.60

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Solution

The fourth proportional to 1,833.14, 2,529.88 and 1,500.60 is: 2,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.14 : 2,529.88 = 1,500.60 : x
  2. Step 2: Convert to fraction form
    1,833.14/2,529.88 = 1,500.60/x
  3. Step 3: Cross multiply
    1,833.14x = 2,529.88 × 1,500.60
  4. Step 4: Simplify right side
    1,833.14x = 3,796,337.93
  5. Step 5: Solve for x
    x = 3,796,337.93/1,833.14
  6. Step 6: Final answer
    x = 2,070.95

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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.