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Finding the Fourth Proportional to 2,702.01, 4,054.64 and 970.77

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Solution

The fourth proportional to 2,702.01, 4,054.64 and 970.77 is: 1,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.01 : 4,054.64 = 970.77 : x
  2. Step 2: Convert to fraction form
    2,702.01/4,054.64 = 970.77/x
  3. Step 3: Cross multiply
    2,702.01x = 4,054.64 × 970.77
  4. Step 4: Simplify right side
    2,702.01x = 3,936,118.02
  5. Step 5: Solve for x
    x = 3,936,118.02/2,702.01
  6. Step 6: Final answer
    x = 1,456.74

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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.