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Finding the Fourth Proportional to 1,384.08, 2,076.18 and 410.28

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Solution

The fourth proportional to 1,384.08, 2,076.18 and 410.28 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.08 : 2,076.18 = 410.28 : x
  2. Step 2: Convert to fraction form
    1,384.08/2,076.18 = 410.28/x
  3. Step 3: Cross multiply
    1,384.08x = 2,076.18 × 410.28
  4. Step 4: Simplify right side
    1,384.08x = 851,815.13
  5. Step 5: Solve for x
    x = 851,815.13/1,384.08
  6. Step 6: Final answer
    x = 615.44

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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.