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Finding the Fourth Proportional to 2,538.85, 3,807.94 and 895.19

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Solution

The fourth proportional to 2,538.85, 3,807.94 and 895.19 is: 1,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.85 : 3,807.94 = 895.19 : x
  2. Step 2: Convert to fraction form
    2,538.85/3,807.94 = 895.19/x
  3. Step 3: Cross multiply
    2,538.85x = 3,807.94 × 895.19
  4. Step 4: Simplify right side
    2,538.85x = 3,408,808.53
  5. Step 5: Solve for x
    x = 3,408,808.53/2,538.85
  6. Step 6: Final answer
    x = 1,342.66

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1.5x scale

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.