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Finding the Fourth Proportional to 3,419.98, 4,714.88 and 2,160.40

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Solution

The fourth proportional to 3,419.98, 4,714.88 and 2,160.40 is: 2,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.98 : 4,714.88 = 2,160.40 : x
  2. Step 2: Convert to fraction form
    3,419.98/4,714.88 = 2,160.40/x
  3. Step 3: Cross multiply
    3,419.98x = 4,714.88 × 2,160.40
  4. Step 4: Simplify right side
    3,419.98x = 10,186,029.95
  5. Step 5: Solve for x
    x = 10,186,029.95/3,419.98
  6. Step 6: Final answer
    x = 2,978.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.