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Finding the Fourth Proportional to 1,933.58, 2,666.38 and 1,654.74

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Solution

The fourth proportional to 1,933.58, 2,666.38 and 1,654.74 is: 2,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.58 : 2,666.38 = 1,654.74 : x
  2. Step 2: Convert to fraction form
    1,933.58/2,666.38 = 1,654.74/x
  3. Step 3: Cross multiply
    1,933.58x = 2,666.38 × 1,654.74
  4. Step 4: Simplify right side
    1,933.58x = 4,412,165.64
  5. Step 5: Solve for x
    x = 4,412,165.64/1,933.58
  6. Step 6: Final answer
    x = 2,281.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.