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Finding the Fourth Proportional to 2,077.51, 3,116.26 and 616.47

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Solution

The fourth proportional to 2,077.51, 3,116.26 and 616.47 is: 924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.51 : 3,116.26 = 616.47 : x
  2. Step 2: Convert to fraction form
    2,077.51/3,116.26 = 616.47/x
  3. Step 3: Cross multiply
    2,077.51x = 3,116.26 × 616.47
  4. Step 4: Simplify right side
    2,077.51x = 1,921,080.80
  5. Step 5: Solve for x
    x = 1,921,080.80/2,077.51
  6. Step 6: Final answer
    x = 924.70

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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.