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Finding the Fourth Proportional to 2,575.68, 3,554.72 and 1,692

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Solution

The fourth proportional to 2,575.68, 3,554.72 and 1,692 is: 2,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.68 : 3,554.72 = 1,692 : x
  2. Step 2: Convert to fraction form
    2,575.68/3,554.72 = 1,692/x
  3. Step 3: Cross multiply
    2,575.68x = 3,554.72 × 1,692
  4. Step 4: Simplify right side
    2,575.68x = 6,014,586.24
  5. Step 5: Solve for x
    x = 6,014,586.24/2,575.68
  6. Step 6: Final answer
    x = 2,335.14

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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.