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Finding the Fourth Proportional to 1,410.24, 2,115.12 and 384

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Solution

The fourth proportional to 1,410.24, 2,115.12 and 384 is: 575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.24 : 2,115.12 = 384 : x
  2. Step 2: Convert to fraction form
    1,410.24/2,115.12 = 384/x
  3. Step 3: Cross multiply
    1,410.24x = 2,115.12 × 384
  4. Step 4: Simplify right side
    1,410.24x = 812,206.08
  5. Step 5: Solve for x
    x = 812,206.08/1,410.24
  6. Step 6: Final answer
    x = 575.93

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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.