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Finding the Fourth Proportional to 1,747.18, 2,622.09 and 925.64

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Solution

The fourth proportional to 1,747.18, 2,622.09 and 925.64 is: 1,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.18 : 2,622.09 = 925.64 : x
  2. Step 2: Convert to fraction form
    1,747.18/2,622.09 = 925.64/x
  3. Step 3: Cross multiply
    1,747.18x = 2,622.09 × 925.64
  4. Step 4: Simplify right side
    1,747.18x = 2,427,108.11
  5. Step 5: Solve for x
    x = 2,427,108.11/1,747.18
  6. Step 6: Final answer
    x = 1,389.16

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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.