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Finding the Fourth Proportional to 2,037.52, 3,055.74 and 883

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Solution

The fourth proportional to 2,037.52, 3,055.74 and 883 is: 1,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.52 : 3,055.74 = 883 : x
  2. Step 2: Convert to fraction form
    2,037.52/3,055.74 = 883/x
  3. Step 3: Cross multiply
    2,037.52x = 3,055.74 × 883
  4. Step 4: Simplify right side
    2,037.52x = 2,698,218.42
  5. Step 5: Solve for x
    x = 2,698,218.42/2,037.52
  6. Step 6: Final answer
    x = 1,324.27

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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.