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Finding the Fourth Proportional to 1,400.17, 2,101.08 and 523.30

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Solution

The fourth proportional to 1,400.17, 2,101.08 and 523.30 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.17 : 2,101.08 = 523.30 : x
  2. Step 2: Convert to fraction form
    1,400.17/2,101.08 = 523.30/x
  3. Step 3: Cross multiply
    1,400.17x = 2,101.08 × 523.30
  4. Step 4: Simplify right side
    1,400.17x = 1,099,495.16
  5. Step 5: Solve for x
    x = 1,099,495.16/1,400.17
  6. Step 6: Final answer
    x = 785.26

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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.