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Finding the Fourth Proportional to 1,490.59, 2,224.61 and 1,451.71

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Solution

The fourth proportional to 1,490.59, 2,224.61 and 1,451.71 is: 2,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.59 : 2,224.61 = 1,451.71 : x
  2. Step 2: Convert to fraction form
    1,490.59/2,224.61 = 1,451.71/x
  3. Step 3: Cross multiply
    1,490.59x = 2,224.61 × 1,451.71
  4. Step 4: Simplify right side
    1,490.59x = 3,229,477.46
  5. Step 5: Solve for x
    x = 3,229,477.46/1,490.59
  6. Step 6: Final answer
    x = 2,166.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.