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Finding the Fourth Proportional to 2,004.99, 3,008.42 and 1,031.18

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Solution

The fourth proportional to 2,004.99, 3,008.42 and 1,031.18 is: 1,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.99 : 3,008.42 = 1,031.18 : x
  2. Step 2: Convert to fraction form
    2,004.99/3,008.42 = 1,031.18/x
  3. Step 3: Cross multiply
    2,004.99x = 3,008.42 × 1,031.18
  4. Step 4: Simplify right side
    2,004.99x = 3,102,202.34
  5. Step 5: Solve for x
    x = 3,102,202.34/2,004.99
  6. Step 6: Final answer
    x = 1,547.24

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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.