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Finding the Fourth Proportional to 1,777.12, 2,667.54 and 1,573

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Solution

The fourth proportional to 1,777.12, 2,667.54 and 1,573 is: 2,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.12 : 2,667.54 = 1,573 : x
  2. Step 2: Convert to fraction form
    1,777.12/2,667.54 = 1,573/x
  3. Step 3: Cross multiply
    1,777.12x = 2,667.54 × 1,573
  4. Step 4: Simplify right side
    1,777.12x = 4,196,040.42
  5. Step 5: Solve for x
    x = 4,196,040.42/1,777.12
  6. Step 6: Final answer
    x = 2,361.15

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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.