Home / 1,417.15-2,121.62-923.02

Finding the Fourth Proportional to 1,417.15, 2,121.62 and 923.02

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Solution

The fourth proportional to 1,417.15, 2,121.62 and 923.02 is: 1,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.15 : 2,121.62 = 923.02 : x
  2. Step 2: Convert to fraction form
    1,417.15/2,121.62 = 923.02/x
  3. Step 3: Cross multiply
    1,417.15x = 2,121.62 × 923.02
  4. Step 4: Simplify right side
    1,417.15x = 1,958,296.34
  5. Step 5: Solve for x
    x = 1,958,296.34/1,417.15
  6. Step 6: Final answer
    x = 1,381.86

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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.