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Finding the Fourth Proportional to 1,881.57, 2,596.47 and 1,042.25

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Solution

The fourth proportional to 1,881.57, 2,596.47 and 1,042.25 is: 1,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.57 : 2,596.47 = 1,042.25 : x
  2. Step 2: Convert to fraction form
    1,881.57/2,596.47 = 1,042.25/x
  3. Step 3: Cross multiply
    1,881.57x = 2,596.47 × 1,042.25
  4. Step 4: Simplify right side
    1,881.57x = 2,706,157.88
  5. Step 5: Solve for x
    x = 2,706,157.88/1,881.57
  6. Step 6: Final answer
    x = 1,438.24

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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.