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Finding the Fourth Proportional to 2,509.52, 3,784.14 and 2,445.52

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Solution

The fourth proportional to 2,509.52, 3,784.14 and 2,445.52 is: 3,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.52 : 3,784.14 = 2,445.52 : x
  2. Step 2: Convert to fraction form
    2,509.52/3,784.14 = 2,445.52/x
  3. Step 3: Cross multiply
    2,509.52x = 3,784.14 × 2,445.52
  4. Step 4: Simplify right side
    2,509.52x = 9,254,190.05
  5. Step 5: Solve for x
    x = 9,254,190.05/2,509.52
  6. Step 6: Final answer
    x = 3,687.63

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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.