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Finding the Fourth Proportional to 2,702.94, 4,054.14 and 755.34

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Solution

The fourth proportional to 2,702.94, 4,054.14 and 755.34 is: 1,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.94 : 4,054.14 = 755.34 : x
  2. Step 2: Convert to fraction form
    2,702.94/4,054.14 = 755.34/x
  3. Step 3: Cross multiply
    2,702.94x = 4,054.14 × 755.34
  4. Step 4: Simplify right side
    2,702.94x = 3,062,254.11
  5. Step 5: Solve for x
    x = 3,062,254.11/2,702.94
  6. Step 6: Final answer
    x = 1,132.93

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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.