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Finding the Fourth Proportional to 1,925.55, 2,887.79 and 814.59

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Solution

The fourth proportional to 1,925.55, 2,887.79 and 814.59 is: 1,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.55 : 2,887.79 = 814.59 : x
  2. Step 2: Convert to fraction form
    1,925.55/2,887.79 = 814.59/x
  3. Step 3: Cross multiply
    1,925.55x = 2,887.79 × 814.59
  4. Step 4: Simplify right side
    1,925.55x = 2,352,364.86
  5. Step 5: Solve for x
    x = 2,352,364.86/1,925.55
  6. Step 6: Final answer
    x = 1,221.66

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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.