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Finding the Fourth Proportional to 1,977.71, 2,730.39 and 1,192.01

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Solution

The fourth proportional to 1,977.71, 2,730.39 and 1,192.01 is: 1,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.71 : 2,730.39 = 1,192.01 : x
  2. Step 2: Convert to fraction form
    1,977.71/2,730.39 = 1,192.01/x
  3. Step 3: Cross multiply
    1,977.71x = 2,730.39 × 1,192.01
  4. Step 4: Simplify right side
    1,977.71x = 3,254,652.18
  5. Step 5: Solve for x
    x = 3,254,652.18/1,977.71
  6. Step 6: Final answer
    x = 1,645.67

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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.