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Finding the Fourth Proportional to 1,500.52, 2,264.22 and 1,440.58

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Solution

The fourth proportional to 1,500.52, 2,264.22 and 1,440.58 is: 2,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.52 : 2,264.22 = 1,440.58 : x
  2. Step 2: Convert to fraction form
    1,500.52/2,264.22 = 1,440.58/x
  3. Step 3: Cross multiply
    1,500.52x = 2,264.22 × 1,440.58
  4. Step 4: Simplify right side
    1,500.52x = 3,261,790.05
  5. Step 5: Solve for x
    x = 3,261,790.05/1,500.52
  6. Step 6: Final answer
    x = 2,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.