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Finding the Fourth Proportional to 2,223.51, 3,064.70 and 1,906.40

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Solution

The fourth proportional to 2,223.51, 3,064.70 and 1,906.40 is: 2,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.51 : 3,064.70 = 1,906.40 : x
  2. Step 2: Convert to fraction form
    2,223.51/3,064.70 = 1,906.40/x
  3. Step 3: Cross multiply
    2,223.51x = 3,064.70 × 1,906.40
  4. Step 4: Simplify right side
    2,223.51x = 5,842,528.76
  5. Step 5: Solve for x
    x = 5,842,528.76/2,223.51
  6. Step 6: Final answer
    x = 2,627.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.