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Finding the Fourth Proportional to 1,702.26, 2,349 and 1,003.50

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Solution

The fourth proportional to 1,702.26, 2,349 and 1,003.50 is: 1,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.26 : 2,349 = 1,003.50 : x
  2. Step 2: Convert to fraction form
    1,702.26/2,349 = 1,003.50/x
  3. Step 3: Cross multiply
    1,702.26x = 2,349 × 1,003.50
  4. Step 4: Simplify right side
    1,702.26x = 2,357,221.50
  5. Step 5: Solve for x
    x = 2,357,221.50/1,702.26
  6. Step 6: Final answer
    x = 1,384.76

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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.