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Finding the Fourth Proportional to 1,816.95, 2,507.37 and 1,031.03

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Solution

The fourth proportional to 1,816.95, 2,507.37 and 1,031.03 is: 1,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.95 : 2,507.37 = 1,031.03 : x
  2. Step 2: Convert to fraction form
    1,816.95/2,507.37 = 1,031.03/x
  3. Step 3: Cross multiply
    1,816.95x = 2,507.37 × 1,031.03
  4. Step 4: Simplify right side
    1,816.95x = 2,585,161.15
  5. Step 5: Solve for x
    x = 2,585,161.15/1,816.95
  6. Step 6: Final answer
    x = 1,422.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.