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Finding the Fourth Proportional to 1,810.81, 2,715.22 and 836.04

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Solution

The fourth proportional to 1,810.81, 2,715.22 and 836.04 is: 1,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.81 : 2,715.22 = 836.04 : x
  2. Step 2: Convert to fraction form
    1,810.81/2,715.22 = 836.04/x
  3. Step 3: Cross multiply
    1,810.81x = 2,715.22 × 836.04
  4. Step 4: Simplify right side
    1,810.81x = 2,270,032.53
  5. Step 5: Solve for x
    x = 2,270,032.53/1,810.81
  6. Step 6: Final answer
    x = 1,253.60

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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.