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Finding the Fourth Proportional to 1,853.74, 2,558.46 and 1,107.46

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Solution

The fourth proportional to 1,853.74, 2,558.46 and 1,107.46 is: 1,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.74 : 2,558.46 = 1,107.46 : x
  2. Step 2: Convert to fraction form
    1,853.74/2,558.46 = 1,107.46/x
  3. Step 3: Cross multiply
    1,853.74x = 2,558.46 × 1,107.46
  4. Step 4: Simplify right side
    1,853.74x = 2,833,392.11
  5. Step 5: Solve for x
    x = 2,833,392.11/1,853.74
  6. Step 6: Final answer
    x = 1,528.47

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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.