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Finding the Fourth Proportional to 1,663.77, 2,297.07 and 1,035.15

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Solution

The fourth proportional to 1,663.77, 2,297.07 and 1,035.15 is: 1,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.77 : 2,297.07 = 1,035.15 : x
  2. Step 2: Convert to fraction form
    1,663.77/2,297.07 = 1,035.15/x
  3. Step 3: Cross multiply
    1,663.77x = 2,297.07 × 1,035.15
  4. Step 4: Simplify right side
    1,663.77x = 2,377,820.62
  5. Step 5: Solve for x
    x = 2,377,820.62/1,663.77
  6. Step 6: Final answer
    x = 1,429.18

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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.