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Finding the Fourth Proportional to 1,929.98, 2,898.50 and 1,767.32

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Solution

The fourth proportional to 1,929.98, 2,898.50 and 1,767.32 is: 2,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.98 : 2,898.50 = 1,767.32 : x
  2. Step 2: Convert to fraction form
    1,929.98/2,898.50 = 1,767.32/x
  3. Step 3: Cross multiply
    1,929.98x = 2,898.50 × 1,767.32
  4. Step 4: Simplify right side
    1,929.98x = 5,122,577.02
  5. Step 5: Solve for x
    x = 5,122,577.02/1,929.98
  6. Step 6: Final answer
    x = 2,654.21

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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.