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Finding the Fourth Proportional to 2,185.66, 3,017.29 and 1,490.68

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Solution

The fourth proportional to 2,185.66, 3,017.29 and 1,490.68 is: 2,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.66 : 3,017.29 = 1,490.68 : x
  2. Step 2: Convert to fraction form
    2,185.66/3,017.29 = 1,490.68/x
  3. Step 3: Cross multiply
    2,185.66x = 3,017.29 × 1,490.68
  4. Step 4: Simplify right side
    2,185.66x = 4,497,813.86
  5. Step 5: Solve for x
    x = 4,497,813.86/2,185.66
  6. Step 6: Final answer
    x = 2,057.87

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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.