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Finding the Fourth Proportional to 1,889.34, 2,607.42 and 1,103.64

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Solution

The fourth proportional to 1,889.34, 2,607.42 and 1,103.64 is: 1,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.34 : 2,607.42 = 1,103.64 : x
  2. Step 2: Convert to fraction form
    1,889.34/2,607.42 = 1,103.64/x
  3. Step 3: Cross multiply
    1,889.34x = 2,607.42 × 1,103.64
  4. Step 4: Simplify right side
    1,889.34x = 2,877,653.01
  5. Step 5: Solve for x
    x = 2,877,653.01/1,889.34
  6. Step 6: Final answer
    x = 1,523.10

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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.