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Finding the Fourth Proportional to 1,509.43, 2,264.16 and 992.69

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Solution

The fourth proportional to 1,509.43, 2,264.16 and 992.69 is: 1,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.43 : 2,264.16 = 992.69 : x
  2. Step 2: Convert to fraction form
    1,509.43/2,264.16 = 992.69/x
  3. Step 3: Cross multiply
    1,509.43x = 2,264.16 × 992.69
  4. Step 4: Simplify right side
    1,509.43x = 2,247,597.67
  5. Step 5: Solve for x
    x = 2,247,597.67/1,509.43
  6. Step 6: Final answer
    x = 1,489.04

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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.