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Finding the Fourth Proportional to 2,375.16, 3,557.76 and 1,505.16

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Solution

The fourth proportional to 2,375.16, 3,557.76 and 1,505.16 is: 2,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.16 : 3,557.76 = 1,505.16 : x
  2. Step 2: Convert to fraction form
    2,375.16/3,557.76 = 1,505.16/x
  3. Step 3: Cross multiply
    2,375.16x = 3,557.76 × 1,505.16
  4. Step 4: Simplify right side
    2,375.16x = 5,354,998.04
  5. Step 5: Solve for x
    x = 5,354,998.04/2,375.16
  6. Step 6: Final answer
    x = 2,254.58

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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.