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Finding the Fourth Proportional to 1,983.68, 2,975.16 and 597

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Solution

The fourth proportional to 1,983.68, 2,975.16 and 597 is: 895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.68 : 2,975.16 = 597 : x
  2. Step 2: Convert to fraction form
    1,983.68/2,975.16 = 597/x
  3. Step 3: Cross multiply
    1,983.68x = 2,975.16 × 597
  4. Step 4: Simplify right side
    1,983.68x = 1,776,170.52
  5. Step 5: Solve for x
    x = 1,776,170.52/1,983.68
  6. Step 6: Final answer
    x = 895.39

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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.