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Finding the Fourth Proportional to 1,616.84, 2,428.34 and 1,004.82

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Solution

The fourth proportional to 1,616.84, 2,428.34 and 1,004.82 is: 1,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.84 : 2,428.34 = 1,004.82 : x
  2. Step 2: Convert to fraction form
    1,616.84/2,428.34 = 1,004.82/x
  3. Step 3: Cross multiply
    1,616.84x = 2,428.34 × 1,004.82
  4. Step 4: Simplify right side
    1,616.84x = 2,440,044.13
  5. Step 5: Solve for x
    x = 2,440,044.13/1,616.84
  6. Step 6: Final answer
    x = 1,509.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.