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Finding the Fourth Proportional to 2,374.83, 3,557.52 and 1,384.83

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Solution

The fourth proportional to 2,374.83, 3,557.52 and 1,384.83 is: 2,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.83 : 3,557.52 = 1,384.83 : x
  2. Step 2: Convert to fraction form
    2,374.83/3,557.52 = 1,384.83/x
  3. Step 3: Cross multiply
    2,374.83x = 3,557.52 × 1,384.83
  4. Step 4: Simplify right side
    2,374.83x = 4,926,560.42
  5. Step 5: Solve for x
    x = 4,926,560.42/2,374.83
  6. Step 6: Final answer
    x = 2,074.49

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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.