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Finding the Fourth Proportional to 1,887.36, 2,604.16 and 1,141.35

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Solution

The fourth proportional to 1,887.36, 2,604.16 and 1,141.35 is: 1,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.36 : 2,604.16 = 1,141.35 : x
  2. Step 2: Convert to fraction form
    1,887.36/2,604.16 = 1,141.35/x
  3. Step 3: Cross multiply
    1,887.36x = 2,604.16 × 1,141.35
  4. Step 4: Simplify right side
    1,887.36x = 2,972,245.00
  5. Step 5: Solve for x
    x = 2,972,245.00/1,887.36
  6. Step 6: Final answer
    x = 1,574.82

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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.