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Finding the Fourth Proportional to 1,615.50, 2,423.61 and 589.50

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Solution

The fourth proportional to 1,615.50, 2,423.61 and 589.50 is: 884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.50 : 2,423.61 = 589.50 : x
  2. Step 2: Convert to fraction form
    1,615.50/2,423.61 = 589.50/x
  3. Step 3: Cross multiply
    1,615.50x = 2,423.61 × 589.50
  4. Step 4: Simplify right side
    1,615.50x = 1,428,718.10
  5. Step 5: Solve for x
    x = 1,428,718.10/1,615.50
  6. Step 6: Final answer
    x = 884.38

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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.