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Finding the Fourth Proportional to 1,381.16, 1,903.56 and 1,220.24

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Solution

The fourth proportional to 1,381.16, 1,903.56 and 1,220.24 is: 1,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.16 : 1,903.56 = 1,220.24 : x
  2. Step 2: Convert to fraction form
    1,381.16/1,903.56 = 1,220.24/x
  3. Step 3: Cross multiply
    1,381.16x = 1,903.56 × 1,220.24
  4. Step 4: Simplify right side
    1,381.16x = 2,322,800.05
  5. Step 5: Solve for x
    x = 2,322,800.05/1,381.16
  6. Step 6: Final answer
    x = 1,681.77

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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.