Home / 1,544.08-2,314.56-967.36

Finding the Fourth Proportional to 1,544.08, 2,314.56 and 967.36

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Solution

The fourth proportional to 1,544.08, 2,314.56 and 967.36 is: 1,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.08 : 2,314.56 = 967.36 : x
  2. Step 2: Convert to fraction form
    1,544.08/2,314.56 = 967.36/x
  3. Step 3: Cross multiply
    1,544.08x = 2,314.56 × 967.36
  4. Step 4: Simplify right side
    1,544.08x = 2,239,012.76
  5. Step 5: Solve for x
    x = 2,239,012.76/1,544.08
  6. Step 6: Final answer
    x = 1,450.06

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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.