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Finding the Fourth Proportional to 2,538.85, 3,809.97 and 895.40

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Solution

The fourth proportional to 2,538.85, 3,809.97 and 895.40 is: 1,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.85 : 3,809.97 = 895.40 : x
  2. Step 2: Convert to fraction form
    2,538.85/3,809.97 = 895.40/x
  3. Step 3: Cross multiply
    2,538.85x = 3,809.97 × 895.40
  4. Step 4: Simplify right side
    2,538.85x = 3,411,447.14
  5. Step 5: Solve for x
    x = 3,411,447.14/2,538.85
  6. Step 6: Final answer
    x = 1,343.70

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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.