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Finding the Fourth Proportional to 3,235.14, 4,852.81 and 895.17

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Solution

The fourth proportional to 3,235.14, 4,852.81 and 895.17 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.14 : 4,852.81 = 895.17 : x
  2. Step 2: Convert to fraction form
    3,235.14/4,852.81 = 895.17/x
  3. Step 3: Cross multiply
    3,235.14x = 4,852.81 × 895.17
  4. Step 4: Simplify right side
    3,235.14x = 4,344,070.61
  5. Step 5: Solve for x
    x = 4,344,070.61/3,235.14
  6. Step 6: Final answer
    x = 1,342.78

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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.