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Finding the Fourth Proportional to 1,281.70, 1,923.15 and 551.47

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Solution

The fourth proportional to 1,281.70, 1,923.15 and 551.47 is: 827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.70 : 1,923.15 = 551.47 : x
  2. Step 2: Convert to fraction form
    1,281.70/1,923.15 = 551.47/x
  3. Step 3: Cross multiply
    1,281.70x = 1,923.15 × 551.47
  4. Step 4: Simplify right side
    1,281.70x = 1,060,559.53
  5. Step 5: Solve for x
    x = 1,060,559.53/1,281.70
  6. Step 6: Final answer
    x = 827.46

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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.