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Finding the Fourth Proportional to 2,392.57, 3,301.77 and 1,461.07

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Solution

The fourth proportional to 2,392.57, 3,301.77 and 1,461.07 is: 2,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.57 : 3,301.77 = 1,461.07 : x
  2. Step 2: Convert to fraction form
    2,392.57/3,301.77 = 1,461.07/x
  3. Step 3: Cross multiply
    2,392.57x = 3,301.77 × 1,461.07
  4. Step 4: Simplify right side
    2,392.57x = 4,824,117.09
  5. Step 5: Solve for x
    x = 4,824,117.09/2,392.57
  6. Step 6: Final answer
    x = 2,016.29

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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.