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Finding the Fourth Proportional to 1,702.43, 2,553.61 and 970.45

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Solution

The fourth proportional to 1,702.43, 2,553.61 and 970.45 is: 1,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.43 : 2,553.61 = 970.45 : x
  2. Step 2: Convert to fraction form
    1,702.43/2,553.61 = 970.45/x
  3. Step 3: Cross multiply
    1,702.43x = 2,553.61 × 970.45
  4. Step 4: Simplify right side
    1,702.43x = 2,478,150.82
  5. Step 5: Solve for x
    x = 2,478,150.82/1,702.43
  6. Step 6: Final answer
    x = 1,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.