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Finding the Fourth Proportional to 1,520.86, 2,099.00 and 923.66

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Solution

The fourth proportional to 1,520.86, 2,099.00 and 923.66 is: 1,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.86 : 2,099.00 = 923.66 : x
  2. Step 2: Convert to fraction form
    1,520.86/2,099.00 = 923.66/x
  3. Step 3: Cross multiply
    1,520.86x = 2,099.00 × 923.66
  4. Step 4: Simplify right side
    1,520.86x = 1,938,754.15
  5. Step 5: Solve for x
    x = 1,938,754.15/1,520.86
  6. Step 6: Final answer
    x = 1,274.77

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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.