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Finding the Fourth Proportional to 2,888.72, 3,986.44 and 1,562.42

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Solution

The fourth proportional to 2,888.72, 3,986.44 and 1,562.42 is: 2,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.72 : 3,986.44 = 1,562.42 : x
  2. Step 2: Convert to fraction form
    2,888.72/3,986.44 = 1,562.42/x
  3. Step 3: Cross multiply
    2,888.72x = 3,986.44 × 1,562.42
  4. Step 4: Simplify right side
    2,888.72x = 6,228,485.77
  5. Step 5: Solve for x
    x = 6,228,485.77/2,888.72
  6. Step 6: Final answer
    x = 2,156.14

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1.5x scale

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.