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Finding the Fourth Proportional to 1,544.70, 2,133 and 986.16

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Solution

The fourth proportional to 1,544.70, 2,133 and 986.16 is: 1,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.70 : 2,133 = 986.16 : x
  2. Step 2: Convert to fraction form
    1,544.70/2,133 = 986.16/x
  3. Step 3: Cross multiply
    1,544.70x = 2,133 × 986.16
  4. Step 4: Simplify right side
    1,544.70x = 2,103,479.28
  5. Step 5: Solve for x
    x = 2,103,479.28/1,544.70
  6. Step 6: Final answer
    x = 1,361.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.