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Finding the Fourth Proportional to 1,495.19, 2,242.70 and 617.31

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Solution

The fourth proportional to 1,495.19, 2,242.70 and 617.31 is: 925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.19 : 2,242.70 = 617.31 : x
  2. Step 2: Convert to fraction form
    1,495.19/2,242.70 = 617.31/x
  3. Step 3: Cross multiply
    1,495.19x = 2,242.70 × 617.31
  4. Step 4: Simplify right side
    1,495.19x = 1,384,452.27
  5. Step 5: Solve for x
    x = 1,384,452.27/1,495.19
  6. Step 6: Final answer
    x = 925.94

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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.