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Finding the Fourth Proportional to 2,392.48, 3,588.93 and 661.11

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Solution

The fourth proportional to 2,392.48, 3,588.93 and 661.11 is: 991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.48 : 3,588.93 = 661.11 : x
  2. Step 2: Convert to fraction form
    2,392.48/3,588.93 = 661.11/x
  3. Step 3: Cross multiply
    2,392.48x = 3,588.93 × 661.11
  4. Step 4: Simplify right side
    2,392.48x = 2,372,656.26
  5. Step 5: Solve for x
    x = 2,372,656.26/2,392.48
  6. Step 6: Final answer
    x = 991.71

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Why These Related Problems?

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