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Finding the Fourth Proportional to 3,415.84, 4,714.30 and 1,924.04

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Solution

The fourth proportional to 3,415.84, 4,714.30 and 1,924.04 is: 2,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.84 : 4,714.30 = 1,924.04 : x
  2. Step 2: Convert to fraction form
    3,415.84/4,714.30 = 1,924.04/x
  3. Step 3: Cross multiply
    3,415.84x = 4,714.30 × 1,924.04
  4. Step 4: Simplify right side
    3,415.84x = 9,070,515.96
  5. Step 5: Solve for x
    x = 9,070,515.96/3,415.84
  6. Step 6: Final answer
    x = 2,655.43

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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.