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Finding the Fourth Proportional to 2,094.64, 2,892.54 and 1,569.76

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Solution

The fourth proportional to 2,094.64, 2,892.54 and 1,569.76 is: 2,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.64 : 2,892.54 = 1,569.76 : x
  2. Step 2: Convert to fraction form
    2,094.64/2,892.54 = 1,569.76/x
  3. Step 3: Cross multiply
    2,094.64x = 2,892.54 × 1,569.76
  4. Step 4: Simplify right side
    2,094.64x = 4,540,593.59
  5. Step 5: Solve for x
    x = 4,540,593.59/2,094.64
  6. Step 6: Final answer
    x = 2,167.72

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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.