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Finding the Fourth Proportional to 1,921.38, 2,884.74 and 1,335

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Solution

The fourth proportional to 1,921.38, 2,884.74 and 1,335 is: 2,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.38 : 2,884.74 = 1,335 : x
  2. Step 2: Convert to fraction form
    1,921.38/2,884.74 = 1,335/x
  3. Step 3: Cross multiply
    1,921.38x = 2,884.74 × 1,335
  4. Step 4: Simplify right side
    1,921.38x = 3,851,127.90
  5. Step 5: Solve for x
    x = 3,851,127.90/1,921.38
  6. Step 6: Final answer
    x = 2,004.36

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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.