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Finding the Fourth Proportional to 2,222.71, 3,332.26 and 925.15

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Solution

The fourth proportional to 2,222.71, 3,332.26 and 925.15 is: 1,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.71 : 3,332.26 = 925.15 : x
  2. Step 2: Convert to fraction form
    2,222.71/3,332.26 = 925.15/x
  3. Step 3: Cross multiply
    2,222.71x = 3,332.26 × 925.15
  4. Step 4: Simplify right side
    2,222.71x = 3,082,840.34
  5. Step 5: Solve for x
    x = 3,082,840.34/2,222.71
  6. Step 6: Final answer
    x = 1,386.97

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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.