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Finding the Fourth Proportional to 1,285.63, 1,918.93 and 1,254.55

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Solution

The fourth proportional to 1,285.63, 1,918.93 and 1,254.55 is: 1,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.63 : 1,918.93 = 1,254.55 : x
  2. Step 2: Convert to fraction form
    1,285.63/1,918.93 = 1,254.55/x
  3. Step 3: Cross multiply
    1,285.63x = 1,918.93 × 1,254.55
  4. Step 4: Simplify right side
    1,285.63x = 2,407,393.63
  5. Step 5: Solve for x
    x = 2,407,393.63/1,285.63
  6. Step 6: Final answer
    x = 1,872.54

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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.