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Finding the Fourth Proportional to 2,523.86, 3,482.82 and 1,404.30

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Solution

The fourth proportional to 2,523.86, 3,482.82 and 1,404.30 is: 1,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.86 : 3,482.82 = 1,404.30 : x
  2. Step 2: Convert to fraction form
    2,523.86/3,482.82 = 1,404.30/x
  3. Step 3: Cross multiply
    2,523.86x = 3,482.82 × 1,404.30
  4. Step 4: Simplify right side
    2,523.86x = 4,890,924.13
  5. Step 5: Solve for x
    x = 4,890,924.13/2,523.86
  6. Step 6: Final answer
    x = 1,937.87

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