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Finding the Fourth Proportional to 2,111.76, 3,170.40 and 1,695.51

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Solution

The fourth proportional to 2,111.76, 3,170.40 and 1,695.51 is: 2,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 3,170.40 = 1,695.51 : x
  2. Step 2: Convert to fraction form
    2,111.76/3,170.40 = 1,695.51/x
  3. Step 3: Cross multiply
    2,111.76x = 3,170.40 × 1,695.51
  4. Step 4: Simplify right side
    2,111.76x = 5,375,444.90
  5. Step 5: Solve for x
    x = 5,375,444.90/2,111.76
  6. Step 6: Final answer
    x = 2,545.48

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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.