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Finding the Fourth Proportional to 3,237.14, 4,855.80 and 897.16

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Solution

The fourth proportional to 3,237.14, 4,855.80 and 897.16 is: 1,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.14 : 4,855.80 = 897.16 : x
  2. Step 2: Convert to fraction form
    3,237.14/4,855.80 = 897.16/x
  3. Step 3: Cross multiply
    3,237.14x = 4,855.80 × 897.16
  4. Step 4: Simplify right side
    3,237.14x = 4,356,429.53
  5. Step 5: Solve for x
    x = 4,356,429.53/3,237.14
  6. Step 6: Final answer
    x = 1,345.76

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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.