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Finding the Fourth Proportional to 1,702.41, 2,551.14 and 970.44

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Solution

The fourth proportional to 1,702.41, 2,551.14 and 970.44 is: 1,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.41 : 2,551.14 = 970.44 : x
  2. Step 2: Convert to fraction form
    1,702.41/2,551.14 = 970.44/x
  3. Step 3: Cross multiply
    1,702.41x = 2,551.14 × 970.44
  4. Step 4: Simplify right side
    1,702.41x = 2,475,728.30
  5. Step 5: Solve for x
    x = 2,475,728.30/1,702.41
  6. Step 6: Final answer
    x = 1,454.25

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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.