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Finding the Fourth Proportional to 2,117.51, 2,920.16 and 1,620.17

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Solution

The fourth proportional to 2,117.51, 2,920.16 and 1,620.17 is: 2,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.51 : 2,920.16 = 1,620.17 : x
  2. Step 2: Convert to fraction form
    2,117.51/2,920.16 = 1,620.17/x
  3. Step 3: Cross multiply
    2,117.51x = 2,920.16 × 1,620.17
  4. Step 4: Simplify right side
    2,117.51x = 4,731,147.53
  5. Step 5: Solve for x
    x = 4,731,147.53/2,117.51
  6. Step 6: Final answer
    x = 2,234.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.