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Finding the Fourth Proportional to 1,772.30, 2,445.77 and 986.53

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Solution

The fourth proportional to 1,772.30, 2,445.77 and 986.53 is: 1,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.30 : 2,445.77 = 986.53 : x
  2. Step 2: Convert to fraction form
    1,772.30/2,445.77 = 986.53/x
  3. Step 3: Cross multiply
    1,772.30x = 2,445.77 × 986.53
  4. Step 4: Simplify right side
    1,772.30x = 2,412,823.64
  5. Step 5: Solve for x
    x = 2,412,823.64/1,772.30
  6. Step 6: Final answer
    x = 1,361.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.