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Finding the Fourth Proportional to 2,222.16, 3,334.32 and 924

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Solution

The fourth proportional to 2,222.16, 3,334.32 and 924 is: 1,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.16 : 3,334.32 = 924 : x
  2. Step 2: Convert to fraction form
    2,222.16/3,334.32 = 924/x
  3. Step 3: Cross multiply
    2,222.16x = 3,334.32 × 924
  4. Step 4: Simplify right side
    2,222.16x = 3,080,911.68
  5. Step 5: Solve for x
    x = 3,080,911.68/2,222.16
  6. Step 6: Final answer
    x = 1,386.45

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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.