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Finding the Fourth Proportional to 1,292.37, 1,938.08 and 551.90

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Solution

The fourth proportional to 1,292.37, 1,938.08 and 551.90 is: 827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.37 : 1,938.08 = 551.90 : x
  2. Step 2: Convert to fraction form
    1,292.37/1,938.08 = 551.90/x
  3. Step 3: Cross multiply
    1,292.37x = 1,938.08 × 551.90
  4. Step 4: Simplify right side
    1,292.37x = 1,069,613.90
  5. Step 5: Solve for x
    x = 1,069,613.90/1,292.37
  6. Step 6: Final answer
    x = 827.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.