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Finding the Fourth Proportional to 1,553.78, 2,144.48 and 1,056.14

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Solution

The fourth proportional to 1,553.78, 2,144.48 and 1,056.14 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.78 : 2,144.48 = 1,056.14 : x
  2. Step 2: Convert to fraction form
    1,553.78/2,144.48 = 1,056.14/x
  3. Step 3: Cross multiply
    1,553.78x = 2,144.48 × 1,056.14
  4. Step 4: Simplify right side
    1,553.78x = 2,264,863.15
  5. Step 5: Solve for x
    x = 2,264,863.15/1,553.78
  6. Step 6: Final answer
    x = 1,457.64

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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.