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Finding the Fourth Proportional to 2,392.22, 3,586.93 and 929.66

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Solution

The fourth proportional to 2,392.22, 3,586.93 and 929.66 is: 1,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.22 : 3,586.93 = 929.66 : x
  2. Step 2: Convert to fraction form
    2,392.22/3,586.93 = 929.66/x
  3. Step 3: Cross multiply
    2,392.22x = 3,586.93 × 929.66
  4. Step 4: Simplify right side
    2,392.22x = 3,334,605.09
  5. Step 5: Solve for x
    x = 3,334,605.09/2,392.22
  6. Step 6: Final answer
    x = 1,393.94

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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.