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Finding the Fourth Proportional to 2,539.01, 3,808.58 and 895.18

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Solution

The fourth proportional to 2,539.01, 3,808.58 and 895.18 is: 1,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.01 : 3,808.58 = 895.18 : x
  2. Step 2: Convert to fraction form
    2,539.01/3,808.58 = 895.18/x
  3. Step 3: Cross multiply
    2,539.01x = 3,808.58 × 895.18
  4. Step 4: Simplify right side
    2,539.01x = 3,409,364.64
  5. Step 5: Solve for x
    x = 3,409,364.64/2,539.01
  6. Step 6: Final answer
    x = 1,342.79

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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.