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Finding the Fourth Proportional to 1,845.33, 2,767.70 and 510.81

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Solution

The fourth proportional to 1,845.33, 2,767.70 and 510.81 is: 766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.33 : 2,767.70 = 510.81 : x
  2. Step 2: Convert to fraction form
    1,845.33/2,767.70 = 510.81/x
  3. Step 3: Cross multiply
    1,845.33x = 2,767.70 × 510.81
  4. Step 4: Simplify right side
    1,845.33x = 1,413,768.84
  5. Step 5: Solve for x
    x = 1,413,768.84/1,845.33
  6. Step 6: Final answer
    x = 766.13

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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.