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Finding the Fourth Proportional to 2,519.61, 3,477 and 1,400.55

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Solution

The fourth proportional to 2,519.61, 3,477 and 1,400.55 is: 1,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.61 : 3,477 = 1,400.55 : x
  2. Step 2: Convert to fraction form
    2,519.61/3,477 = 1,400.55/x
  3. Step 3: Cross multiply
    2,519.61x = 3,477 × 1,400.55
  4. Step 4: Simplify right side
    2,519.61x = 4,869,712.35
  5. Step 5: Solve for x
    x = 4,869,712.35/2,519.61
  6. Step 6: Final answer
    x = 1,932.72

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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.