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Finding the Fourth Proportional to 1,772.24, 2,445.54 and 986.30

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Solution

The fourth proportional to 1,772.24, 2,445.54 and 986.30 is: 1,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.24 : 2,445.54 = 986.30 : x
  2. Step 2: Convert to fraction form
    1,772.24/2,445.54 = 986.30/x
  3. Step 3: Cross multiply
    1,772.24x = 2,445.54 × 986.30
  4. Step 4: Simplify right side
    1,772.24x = 2,412,036.10
  5. Step 5: Solve for x
    x = 2,412,036.10/1,772.24
  6. Step 6: Final answer
    x = 1,361.01

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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.