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Finding the Fourth Proportional to 1,495.34, 2,242.16 and 617.57

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Solution

The fourth proportional to 1,495.34, 2,242.16 and 617.57 is: 926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.34 : 2,242.16 = 617.57 : x
  2. Step 2: Convert to fraction form
    1,495.34/2,242.16 = 617.57/x
  3. Step 3: Cross multiply
    1,495.34x = 2,242.16 × 617.57
  4. Step 4: Simplify right side
    1,495.34x = 1,384,698.05
  5. Step 5: Solve for x
    x = 1,384,698.05/1,495.34
  6. Step 6: Final answer
    x = 926.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.