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Finding the Fourth Proportional to 2,124.48, 3,186.23 and 807.96

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Solution

The fourth proportional to 2,124.48, 3,186.23 and 807.96 is: 1,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.48 : 3,186.23 = 807.96 : x
  2. Step 2: Convert to fraction form
    2,124.48/3,186.23 = 807.96/x
  3. Step 3: Cross multiply
    2,124.48x = 3,186.23 × 807.96
  4. Step 4: Simplify right side
    2,124.48x = 2,574,342.35
  5. Step 5: Solve for x
    x = 2,574,342.35/2,124.48
  6. Step 6: Final answer
    x = 1,211.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.