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Finding the Fourth Proportional to 1,386.32, 2,080.14 and 809.24

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Solution

The fourth proportional to 1,386.32, 2,080.14 and 809.24 is: 1,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.32 : 2,080.14 = 809.24 : x
  2. Step 2: Convert to fraction form
    1,386.32/2,080.14 = 809.24/x
  3. Step 3: Cross multiply
    1,386.32x = 2,080.14 × 809.24
  4. Step 4: Simplify right side
    1,386.32x = 1,683,332.49
  5. Step 5: Solve for x
    x = 1,683,332.49/1,386.32
  6. Step 6: Final answer
    x = 1,214.25

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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.