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Finding the Fourth Proportional to 2,073.74, 2,864.23 and 1,513.31

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Solution

The fourth proportional to 2,073.74, 2,864.23 and 1,513.31 is: 2,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.74 : 2,864.23 = 1,513.31 : x
  2. Step 2: Convert to fraction form
    2,073.74/2,864.23 = 1,513.31/x
  3. Step 3: Cross multiply
    2,073.74x = 2,864.23 × 1,513.31
  4. Step 4: Simplify right side
    2,073.74x = 4,334,449.80
  5. Step 5: Solve for x
    x = 4,334,449.80/2,073.74
  6. Step 6: Final answer
    x = 2,090.17

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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.