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Finding the Fourth Proportional to 2,176.39, 3,264.77 and 616.40

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Solution

The fourth proportional to 2,176.39, 3,264.77 and 616.40 is: 924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.39 : 3,264.77 = 616.40 : x
  2. Step 2: Convert to fraction form
    2,176.39/3,264.77 = 616.40/x
  3. Step 3: Cross multiply
    2,176.39x = 3,264.77 × 616.40
  4. Step 4: Simplify right side
    2,176.39x = 2,012,404.23
  5. Step 5: Solve for x
    x = 2,012,404.23/2,176.39
  6. Step 6: Final answer
    x = 924.65

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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.