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Finding the Fourth Proportional to 1,868.16, 2,797.28 and 1,544.96

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Solution

The fourth proportional to 1,868.16, 2,797.28 and 1,544.96 is: 2,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.16 : 2,797.28 = 1,544.96 : x
  2. Step 2: Convert to fraction form
    1,868.16/2,797.28 = 1,544.96/x
  3. Step 3: Cross multiply
    1,868.16x = 2,797.28 × 1,544.96
  4. Step 4: Simplify right side
    1,868.16x = 4,321,685.71
  5. Step 5: Solve for x
    x = 4,321,685.71/1,868.16
  6. Step 6: Final answer
    x = 2,313.34

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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.