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Finding the Fourth Proportional to 1,702.14, 2,348.34 and 993.89

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Solution

The fourth proportional to 1,702.14, 2,348.34 and 993.89 is: 1,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.14 : 2,348.34 = 993.89 : x
  2. Step 2: Convert to fraction form
    1,702.14/2,348.34 = 993.89/x
  3. Step 3: Cross multiply
    1,702.14x = 2,348.34 × 993.89
  4. Step 4: Simplify right side
    1,702.14x = 2,333,979.90
  5. Step 5: Solve for x
    x = 2,333,979.90/1,702.14
  6. Step 6: Final answer
    x = 1,371.20

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1.5x scale

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.