Home / 1,426.48-2,138.28-594.16

Finding the Fourth Proportional to 1,426.48, 2,138.28 and 594.16

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Solution

The fourth proportional to 1,426.48, 2,138.28 and 594.16 is: 890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.48 : 2,138.28 = 594.16 : x
  2. Step 2: Convert to fraction form
    1,426.48/2,138.28 = 594.16/x
  3. Step 3: Cross multiply
    1,426.48x = 2,138.28 × 594.16
  4. Step 4: Simplify right side
    1,426.48x = 1,270,476.21
  5. Step 5: Solve for x
    x = 1,270,476.21/1,426.48
  6. Step 6: Final answer
    x = 890.64

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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.