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Finding the Fourth Proportional to 2,702.94, 3,730.47 and 1,956.63

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Solution

The fourth proportional to 2,702.94, 3,730.47 and 1,956.63 is: 2,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.94 : 3,730.47 = 1,956.63 : x
  2. Step 2: Convert to fraction form
    2,702.94/3,730.47 = 1,956.63/x
  3. Step 3: Cross multiply
    2,702.94x = 3,730.47 × 1,956.63
  4. Step 4: Simplify right side
    2,702.94x = 7,299,149.52
  5. Step 5: Solve for x
    x = 7,299,149.52/2,702.94
  6. Step 6: Final answer
    x = 2,700.45

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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.