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Finding the Fourth Proportional to 2,294.97, 3,437.65 and 1,904.05

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Solution

The fourth proportional to 2,294.97, 3,437.65 and 1,904.05 is: 2,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.97 : 3,437.65 = 1,904.05 : x
  2. Step 2: Convert to fraction form
    2,294.97/3,437.65 = 1,904.05/x
  3. Step 3: Cross multiply
    2,294.97x = 3,437.65 × 1,904.05
  4. Step 4: Simplify right side
    2,294.97x = 6,545,457.48
  5. Step 5: Solve for x
    x = 6,545,457.48/2,294.97
  6. Step 6: Final answer
    x = 2,852.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.