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Finding the Fourth Proportional to 2,222.96, 3,332.64 and 925.40

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Solution

The fourth proportional to 2,222.96, 3,332.64 and 925.40 is: 1,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.96 : 3,332.64 = 925.40 : x
  2. Step 2: Convert to fraction form
    2,222.96/3,332.64 = 925.40/x
  3. Step 3: Cross multiply
    2,222.96x = 3,332.64 × 925.40
  4. Step 4: Simplify right side
    2,222.96x = 3,084,025.06
  5. Step 5: Solve for x
    x = 3,084,025.06/2,222.96
  6. Step 6: Final answer
    x = 1,387.35

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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.