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Finding the Fourth Proportional to 1,702.64, 2,349.47 and 994.30

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Solution

The fourth proportional to 1,702.64, 2,349.47 and 994.30 is: 1,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.64 : 2,349.47 = 994.30 : x
  2. Step 2: Convert to fraction form
    1,702.64/2,349.47 = 994.30/x
  3. Step 3: Cross multiply
    1,702.64x = 2,349.47 × 994.30
  4. Step 4: Simplify right side
    1,702.64x = 2,336,078.02
  5. Step 5: Solve for x
    x = 2,336,078.02/1,702.64
  6. Step 6: Final answer
    x = 1,372.03

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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.