Home / 1,586.36-2,188.90-923.42

Finding the Fourth Proportional to 1,586.36, 2,188.90 and 923.42

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Solution

The fourth proportional to 1,586.36, 2,188.90 and 923.42 is: 1,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.36 : 2,188.90 = 923.42 : x
  2. Step 2: Convert to fraction form
    1,586.36/2,188.90 = 923.42/x
  3. Step 3: Cross multiply
    1,586.36x = 2,188.90 × 923.42
  4. Step 4: Simplify right side
    1,586.36x = 2,021,275.47
  5. Step 5: Solve for x
    x = 2,021,275.47/1,586.36
  6. Step 6: Final answer
    x = 1,274.16

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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.