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Finding the Fourth Proportional to 1,702.98, 2,349.90 and 956.85

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Solution

The fourth proportional to 1,702.98, 2,349.90 and 956.85 is: 1,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.98 : 2,349.90 = 956.85 : x
  2. Step 2: Convert to fraction form
    1,702.98/2,349.90 = 956.85/x
  3. Step 3: Cross multiply
    1,702.98x = 2,349.90 × 956.85
  4. Step 4: Simplify right side
    1,702.98x = 2,248,501.82
  5. Step 5: Solve for x
    x = 2,248,501.82/1,702.98
  6. Step 6: Final answer
    x = 1,320.33

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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.