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Finding the Fourth Proportional to 2,091.51, 3,137.22 and 510.24

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Solution

The fourth proportional to 2,091.51, 3,137.22 and 510.24 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.51 : 3,137.22 = 510.24 : x
  2. Step 2: Convert to fraction form
    2,091.51/3,137.22 = 510.24/x
  3. Step 3: Cross multiply
    2,091.51x = 3,137.22 × 510.24
  4. Step 4: Simplify right side
    2,091.51x = 1,600,727.29
  5. Step 5: Solve for x
    x = 1,600,727.29/2,091.51
  6. Step 6: Final answer
    x = 765.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.