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Finding the Fourth Proportional to 2,076.71, 3,116.34 and 1,200.94

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Solution

The fourth proportional to 2,076.71, 3,116.34 and 1,200.94 is: 1,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.71 : 3,116.34 = 1,200.94 : x
  2. Step 2: Convert to fraction form
    2,076.71/3,116.34 = 1,200.94/x
  3. Step 3: Cross multiply
    2,076.71x = 3,116.34 × 1,200.94
  4. Step 4: Simplify right side
    2,076.71x = 3,742,529.57
  5. Step 5: Solve for x
    x = 3,742,529.57/2,076.71
  6. Step 6: Final answer
    x = 1,802.15

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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.