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Finding the Fourth Proportional to 1,256.54, 1,874.19 and 1,184.26

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Solution

The fourth proportional to 1,256.54, 1,874.19 and 1,184.26 is: 1,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.54 : 1,874.19 = 1,184.26 : x
  2. Step 2: Convert to fraction form
    1,256.54/1,874.19 = 1,184.26/x
  3. Step 3: Cross multiply
    1,256.54x = 1,874.19 × 1,184.26
  4. Step 4: Simplify right side
    1,256.54x = 2,219,528.25
  5. Step 5: Solve for x
    x = 2,219,528.25/1,256.54
  6. Step 6: Final answer
    x = 1,766.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.