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Finding the Fourth Proportional to 2,077.61, 3,116.48 and 616.77

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Solution

The fourth proportional to 2,077.61, 3,116.48 and 616.77 is: 925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.61 : 3,116.48 = 616.77 : x
  2. Step 2: Convert to fraction form
    2,077.61/3,116.48 = 616.77/x
  3. Step 3: Cross multiply
    2,077.61x = 3,116.48 × 616.77
  4. Step 4: Simplify right side
    2,077.61x = 1,922,148.29
  5. Step 5: Solve for x
    x = 1,922,148.29/2,077.61
  6. Step 6: Final answer
    x = 925.18

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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.