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Finding the Fourth Proportional to 1,409.24, 2,113.86 and 383.24

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Solution

The fourth proportional to 1,409.24, 2,113.86 and 383.24 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.24 : 2,113.86 = 383.24 : x
  2. Step 2: Convert to fraction form
    1,409.24/2,113.86 = 383.24/x
  3. Step 3: Cross multiply
    1,409.24x = 2,113.86 × 383.24
  4. Step 4: Simplify right side
    1,409.24x = 810,115.71
  5. Step 5: Solve for x
    x = 810,115.71/1,409.24
  6. Step 6: Final answer
    x = 574.86

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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.