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Finding the Fourth Proportional to 2,409.74, 3,613.90 and 1,023.06

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Solution

The fourth proportional to 2,409.74, 3,613.90 and 1,023.06 is: 1,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.74 : 3,613.90 = 1,023.06 : x
  2. Step 2: Convert to fraction form
    2,409.74/3,613.90 = 1,023.06/x
  3. Step 3: Cross multiply
    2,409.74x = 3,613.90 × 1,023.06
  4. Step 4: Simplify right side
    2,409.74x = 3,697,236.53
  5. Step 5: Solve for x
    x = 3,697,236.53/2,409.74
  6. Step 6: Final answer
    x = 1,534.29

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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.