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Finding the Fourth Proportional to 1,810.81, 2,715.98 and 1,504.63

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Solution

The fourth proportional to 1,810.81, 2,715.98 and 1,504.63 is: 2,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.81 : 2,715.98 = 1,504.63 : x
  2. Step 2: Convert to fraction form
    1,810.81/2,715.98 = 1,504.63/x
  3. Step 3: Cross multiply
    1,810.81x = 2,715.98 × 1,504.63
  4. Step 4: Simplify right side
    1,810.81x = 4,086,534.05
  5. Step 5: Solve for x
    x = 4,086,534.05/1,810.81
  6. Step 6: Final answer
    x = 2,256.75

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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.