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Finding the Fourth Proportional to 2,068.84, 3,103.17 and 508.84

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Solution

The fourth proportional to 2,068.84, 3,103.17 and 508.84 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.84 : 3,103.17 = 508.84 : x
  2. Step 2: Convert to fraction form
    2,068.84/3,103.17 = 508.84/x
  3. Step 3: Cross multiply
    2,068.84x = 3,103.17 × 508.84
  4. Step 4: Simplify right side
    2,068.84x = 1,579,017.02
  5. Step 5: Solve for x
    x = 1,579,017.02/2,068.84
  6. Step 6: Final answer
    x = 763.24

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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.