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Finding the Fourth Proportional to 2,553.12, 3,521.95 and 1,703.84

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Solution

The fourth proportional to 2,553.12, 3,521.95 and 1,703.84 is: 2,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.12 : 3,521.95 = 1,703.84 : x
  2. Step 2: Convert to fraction form
    2,553.12/3,521.95 = 1,703.84/x
  3. Step 3: Cross multiply
    2,553.12x = 3,521.95 × 1,703.84
  4. Step 4: Simplify right side
    2,553.12x = 6,000,817.42
  5. Step 5: Solve for x
    x = 6,000,817.42/2,553.12
  6. Step 6: Final answer
    x = 2,350.39

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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.