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Finding the Fourth Proportional to 1,613.82, 2,417.82 and 737.07

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Solution

The fourth proportional to 1,613.82, 2,417.82 and 737.07 is: 1,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.82 : 2,417.82 = 737.07 : x
  2. Step 2: Convert to fraction form
    1,613.82/2,417.82 = 737.07/x
  3. Step 3: Cross multiply
    1,613.82x = 2,417.82 × 737.07
  4. Step 4: Simplify right side
    1,613.82x = 1,782,090.76
  5. Step 5: Solve for x
    x = 1,782,090.76/1,613.82
  6. Step 6: Final answer
    x = 1,104.27

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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.