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Finding the Fourth Proportional to 1,874.40, 2,585.52 and 1,174.56

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Solution

The fourth proportional to 1,874.40, 2,585.52 and 1,174.56 is: 1,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.40 : 2,585.52 = 1,174.56 : x
  2. Step 2: Convert to fraction form
    1,874.40/2,585.52 = 1,174.56/x
  3. Step 3: Cross multiply
    1,874.40x = 2,585.52 × 1,174.56
  4. Step 4: Simplify right side
    1,874.40x = 3,036,848.37
  5. Step 5: Solve for x
    x = 3,036,848.37/1,874.40
  6. Step 6: Final answer
    x = 1,620.17

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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.