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Finding the Fourth Proportional to 1,810.54, 2,493.48 and 1,561.74

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Solution

The fourth proportional to 1,810.54, 2,493.48 and 1,561.74 is: 2,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.54 : 2,493.48 = 1,561.74 : x
  2. Step 2: Convert to fraction form
    1,810.54/2,493.48 = 1,561.74/x
  3. Step 3: Cross multiply
    1,810.54x = 2,493.48 × 1,561.74
  4. Step 4: Simplify right side
    1,810.54x = 3,894,167.46
  5. Step 5: Solve for x
    x = 3,894,167.46/1,810.54
  6. Step 6: Final answer
    x = 2,150.83

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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.