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Finding the Fourth Proportional to 2,124.57, 2,931.87 and 1,180.37

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Solution

The fourth proportional to 2,124.57, 2,931.87 and 1,180.37 is: 1,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.57 : 2,931.87 = 1,180.37 : x
  2. Step 2: Convert to fraction form
    2,124.57/2,931.87 = 1,180.37/x
  3. Step 3: Cross multiply
    2,124.57x = 2,931.87 × 1,180.37
  4. Step 4: Simplify right side
    2,124.57x = 3,460,691.39
  5. Step 5: Solve for x
    x = 3,460,691.39/2,124.57
  6. Step 6: Final answer
    x = 1,628.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.