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Finding the Fourth Proportional to 1,824.72, 2,515.86 and 1,558.68

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Solution

The fourth proportional to 1,824.72, 2,515.86 and 1,558.68 is: 2,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.72 : 2,515.86 = 1,558.68 : x
  2. Step 2: Convert to fraction form
    1,824.72/2,515.86 = 1,558.68/x
  3. Step 3: Cross multiply
    1,824.72x = 2,515.86 × 1,558.68
  4. Step 4: Simplify right side
    1,824.72x = 3,921,420.66
  5. Step 5: Solve for x
    x = 3,921,420.66/1,824.72
  6. Step 6: Final answer
    x = 2,149.05

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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.