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Finding the Fourth Proportional to 2,036.21, 2,810.03 and 1,152

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Solution

The fourth proportional to 2,036.21, 2,810.03 and 1,152 is: 1,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.21 : 2,810.03 = 1,152 : x
  2. Step 2: Convert to fraction form
    2,036.21/2,810.03 = 1,152/x
  3. Step 3: Cross multiply
    2,036.21x = 2,810.03 × 1,152
  4. Step 4: Simplify right side
    2,036.21x = 3,237,154.56
  5. Step 5: Solve for x
    x = 3,237,154.56/2,036.21
  6. Step 6: Final answer
    x = 1,589.79

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Why These Related Problems?

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