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Finding the Fourth Proportional to 1,781.51, 2,452.91 and 1,465.76

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Solution

The fourth proportional to 1,781.51, 2,452.91 and 1,465.76 is: 2,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.51 : 2,452.91 = 1,465.76 : x
  2. Step 2: Convert to fraction form
    1,781.51/2,452.91 = 1,465.76/x
  3. Step 3: Cross multiply
    1,781.51x = 2,452.91 × 1,465.76
  4. Step 4: Simplify right side
    1,781.51x = 3,595,380.29
  5. Step 5: Solve for x
    x = 3,595,380.29/1,781.51
  6. Step 6: Final answer
    x = 2,018.16

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