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Finding the Fourth Proportional to 1,410.44, 2,115.80 and 384.44

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Solution

The fourth proportional to 1,410.44, 2,115.80 and 384.44 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.44 : 2,115.80 = 384.44 : x
  2. Step 2: Convert to fraction form
    1,410.44/2,115.80 = 384.44/x
  3. Step 3: Cross multiply
    1,410.44x = 2,115.80 × 384.44
  4. Step 4: Simplify right side
    1,410.44x = 813,398.15
  5. Step 5: Solve for x
    x = 813,398.15/1,410.44
  6. Step 6: Final answer
    x = 576.70

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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.