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Finding the Fourth Proportional to 1,881.84, 2,597.25 and 1,135.91

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Solution

The fourth proportional to 1,881.84, 2,597.25 and 1,135.91 is: 1,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.84 : 2,597.25 = 1,135.91 : x
  2. Step 2: Convert to fraction form
    1,881.84/2,597.25 = 1,135.91/x
  3. Step 3: Cross multiply
    1,881.84x = 2,597.25 × 1,135.91
  4. Step 4: Simplify right side
    1,881.84x = 2,950,236.57
  5. Step 5: Solve for x
    x = 2,950,236.57/1,881.84
  6. Step 6: Final answer
    x = 1,567.74

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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.