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Finding the Fourth Proportional to 2,296.53, 3,457.29 and 2,092.41

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Solution

The fourth proportional to 2,296.53, 3,457.29 and 2,092.41 is: 3,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.53 : 3,457.29 = 2,092.41 : x
  2. Step 2: Convert to fraction form
    2,296.53/3,457.29 = 2,092.41/x
  3. Step 3: Cross multiply
    2,296.53x = 3,457.29 × 2,092.41
  4. Step 4: Simplify right side
    2,296.53x = 7,234,068.17
  5. Step 5: Solve for x
    x = 7,234,068.17/2,296.53
  6. Step 6: Final answer
    x = 3,150.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.