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Finding the Fourth Proportional to 1,873.89, 2,811.15 and 575.07

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Solution

The fourth proportional to 1,873.89, 2,811.15 and 575.07 is: 862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.89 : 2,811.15 = 575.07 : x
  2. Step 2: Convert to fraction form
    1,873.89/2,811.15 = 575.07/x
  3. Step 3: Cross multiply
    1,873.89x = 2,811.15 × 575.07
  4. Step 4: Simplify right side
    1,873.89x = 1,616,608.03
  5. Step 5: Solve for x
    x = 1,616,608.03/1,873.89
  6. Step 6: Final answer
    x = 862.70

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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.