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Finding the Fourth Proportional to 2,405.23, 3,605.04 and 1,018.10

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Solution

The fourth proportional to 2,405.23, 3,605.04 and 1,018.10 is: 1,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.23 : 3,605.04 = 1,018.10 : x
  2. Step 2: Convert to fraction form
    2,405.23/3,605.04 = 1,018.10/x
  3. Step 3: Cross multiply
    2,405.23x = 3,605.04 × 1,018.10
  4. Step 4: Simplify right side
    2,405.23x = 3,670,300.24
  5. Step 5: Solve for x
    x = 3,670,300.24/2,405.23
  6. Step 6: Final answer
    x = 1,525.97

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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.