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Finding the Fourth Proportional to 3,184.71, 4,777.07 and 1,210.34

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Solution

The fourth proportional to 3,184.71, 4,777.07 and 1,210.34 is: 1,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.71 : 4,777.07 = 1,210.34 : x
  2. Step 2: Convert to fraction form
    3,184.71/4,777.07 = 1,210.34/x
  3. Step 3: Cross multiply
    3,184.71x = 4,777.07 × 1,210.34
  4. Step 4: Simplify right side
    3,184.71x = 5,781,878.90
  5. Step 5: Solve for x
    x = 5,781,878.90/3,184.71
  6. Step 6: Final answer
    x = 1,815.51

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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.