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Finding the Fourth Proportional to 1,384.28, 2,085.97 and 1,254.28

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Solution

The fourth proportional to 1,384.28, 2,085.97 and 1,254.28 is: 1,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.28 : 2,085.97 = 1,254.28 : x
  2. Step 2: Convert to fraction form
    1,384.28/2,085.97 = 1,254.28/x
  3. Step 3: Cross multiply
    1,384.28x = 2,085.97 × 1,254.28
  4. Step 4: Simplify right side
    1,384.28x = 2,616,385.24
  5. Step 5: Solve for x
    x = 2,616,385.24/1,384.28
  6. Step 6: Final answer
    x = 1,890.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.