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Finding the Fourth Proportional to 2,125.52, 2,934.88 and 1,380

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Solution

The fourth proportional to 2,125.52, 2,934.88 and 1,380 is: 1,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.52 : 2,934.88 = 1,380 : x
  2. Step 2: Convert to fraction form
    2,125.52/2,934.88 = 1,380/x
  3. Step 3: Cross multiply
    2,125.52x = 2,934.88 × 1,380
  4. Step 4: Simplify right side
    2,125.52x = 4,050,134.40
  5. Step 5: Solve for x
    x = 4,050,134.40/2,125.52
  6. Step 6: Final answer
    x = 1,905.48

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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.