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Finding the Fourth Proportional to 2,702.88, 4,054.95 and 1,143.03

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Solution

The fourth proportional to 2,702.88, 4,054.95 and 1,143.03 is: 1,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.88 : 4,054.95 = 1,143.03 : x
  2. Step 2: Convert to fraction form
    2,702.88/4,054.95 = 1,143.03/x
  3. Step 3: Cross multiply
    2,702.88x = 4,054.95 × 1,143.03
  4. Step 4: Simplify right side
    2,702.88x = 4,634,929.50
  5. Step 5: Solve for x
    x = 4,634,929.50/2,702.88
  6. Step 6: Final answer
    x = 1,714.81

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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.