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Finding the Fourth Proportional to 1,823.49, 2,513.16 and 1,262.97

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Solution

The fourth proportional to 1,823.49, 2,513.16 and 1,262.97 is: 1,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.49 : 2,513.16 = 1,262.97 : x
  2. Step 2: Convert to fraction form
    1,823.49/2,513.16 = 1,262.97/x
  3. Step 3: Cross multiply
    1,823.49x = 2,513.16 × 1,262.97
  4. Step 4: Simplify right side
    1,823.49x = 3,174,045.69
  5. Step 5: Solve for x
    x = 3,174,045.69/1,823.49
  6. Step 6: Final answer
    x = 1,740.64

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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.