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Finding the Fourth Proportional to 1,888.35, 2,606.05 and 1,142.34

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Solution

The fourth proportional to 1,888.35, 2,606.05 and 1,142.34 is: 1,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.35 : 2,606.05 = 1,142.34 : x
  2. Step 2: Convert to fraction form
    1,888.35/2,606.05 = 1,142.34/x
  3. Step 3: Cross multiply
    1,888.35x = 2,606.05 × 1,142.34
  4. Step 4: Simplify right side
    1,888.35x = 2,976,992.30
  5. Step 5: Solve for x
    x = 2,976,992.30/1,888.35
  6. Step 6: Final answer
    x = 1,576.50

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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.