Home / 1,513.79-2,270.08-589.21

Finding the Fourth Proportional to 1,513.79, 2,270.08 and 589.21

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Solution

The fourth proportional to 1,513.79, 2,270.08 and 589.21 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.79 : 2,270.08 = 589.21 : x
  2. Step 2: Convert to fraction form
    1,513.79/2,270.08 = 589.21/x
  3. Step 3: Cross multiply
    1,513.79x = 2,270.08 × 589.21
  4. Step 4: Simplify right side
    1,513.79x = 1,337,561.67
  5. Step 5: Solve for x
    x = 1,337,561.67/1,513.79
  6. Step 6: Final answer
    x = 883.59

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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.