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Finding the Fourth Proportional to 1,808.17, 2,709.90 and 929.93

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Solution

The fourth proportional to 1,808.17, 2,709.90 and 929.93 is: 1,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.17 : 2,709.90 = 929.93 : x
  2. Step 2: Convert to fraction form
    1,808.17/2,709.90 = 929.93/x
  3. Step 3: Cross multiply
    1,808.17x = 2,709.90 × 929.93
  4. Step 4: Simplify right side
    1,808.17x = 2,520,017.31
  5. Step 5: Solve for x
    x = 2,520,017.31/1,808.17
  6. Step 6: Final answer
    x = 1,393.68

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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.