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Finding the Fourth Proportional to 1,933.04, 2,900.00 and 837.59

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Solution

The fourth proportional to 1,933.04, 2,900.00 and 837.59 is: 1,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.04 : 2,900.00 = 837.59 : x
  2. Step 2: Convert to fraction form
    1,933.04/2,900.00 = 837.59/x
  3. Step 3: Cross multiply
    1,933.04x = 2,900.00 × 837.59
  4. Step 4: Simplify right side
    1,933.04x = 2,428,998.59
  5. Step 5: Solve for x
    x = 2,428,998.59/1,933.04
  6. Step 6: Final answer
    x = 1,256.57

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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.