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Finding the Fourth Proportional to 2,548.66, 3,515.66 and 1,602.96

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Solution

The fourth proportional to 2,548.66, 3,515.66 and 1,602.96 is: 2,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.66 : 3,515.66 = 1,602.96 : x
  2. Step 2: Convert to fraction form
    2,548.66/3,515.66 = 1,602.96/x
  3. Step 3: Cross multiply
    2,548.66x = 3,515.66 × 1,602.96
  4. Step 4: Simplify right side
    2,548.66x = 5,635,462.35
  5. Step 5: Solve for x
    x = 5,635,462.35/2,548.66
  6. Step 6: Final answer
    x = 2,211.15

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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.