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Finding the Fourth Proportional to 2,223.60, 3,071.16 and 2,094

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Solution

The fourth proportional to 2,223.60, 3,071.16 and 2,094 is: 2,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.60 : 3,071.16 = 2,094 : x
  2. Step 2: Convert to fraction form
    2,223.60/3,071.16 = 2,094/x
  3. Step 3: Cross multiply
    2,223.60x = 3,071.16 × 2,094
  4. Step 4: Simplify right side
    2,223.60x = 6,431,009.04
  5. Step 5: Solve for x
    x = 6,431,009.04/2,223.60
  6. Step 6: Final answer
    x = 2,892.16

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Why These Related Problems?

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