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Finding the Fourth Proportional to 2,347.56, 3,522.56 and 1,703.61

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Solution

The fourth proportional to 2,347.56, 3,522.56 and 1,703.61 is: 2,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.56 : 3,522.56 = 1,703.61 : x
  2. Step 2: Convert to fraction form
    2,347.56/3,522.56 = 1,703.61/x
  3. Step 3: Cross multiply
    2,347.56x = 3,522.56 × 1,703.61
  4. Step 4: Simplify right side
    2,347.56x = 6,001,068.44
  5. Step 5: Solve for x
    x = 6,001,068.44/2,347.56
  6. Step 6: Final answer
    x = 2,556.30

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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.