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Finding the Fourth Proportional to 1,700.48, 2,549.57 and 589.61

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Solution

The fourth proportional to 1,700.48, 2,549.57 and 589.61 is: 884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.48 : 2,549.57 = 589.61 : x
  2. Step 2: Convert to fraction form
    1,700.48/2,549.57 = 589.61/x
  3. Step 3: Cross multiply
    1,700.48x = 2,549.57 × 589.61
  4. Step 4: Simplify right side
    1,700.48x = 1,503,236.27
  5. Step 5: Solve for x
    x = 1,503,236.27/1,700.48
  6. Step 6: Final answer
    x = 884.01

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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.