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Finding the Fourth Proportional to 2,124.05, 3,184.26 and 807.07

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Solution

The fourth proportional to 2,124.05, 3,184.26 and 807.07 is: 1,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.05 : 3,184.26 = 807.07 : x
  2. Step 2: Convert to fraction form
    2,124.05/3,184.26 = 807.07/x
  3. Step 3: Cross multiply
    2,124.05x = 3,184.26 × 807.07
  4. Step 4: Simplify right side
    2,124.05x = 2,569,920.72
  5. Step 5: Solve for x
    x = 2,569,920.72/2,124.05
  6. Step 6: Final answer
    x = 1,209.92

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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.