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Finding the Fourth Proportional to 1,872.86, 2,809.71 and 556.72

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Solution

The fourth proportional to 1,872.86, 2,809.71 and 556.72 is: 835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.86 : 2,809.71 = 556.72 : x
  2. Step 2: Convert to fraction form
    1,872.86/2,809.71 = 556.72/x
  3. Step 3: Cross multiply
    1,872.86x = 2,809.71 × 556.72
  4. Step 4: Simplify right side
    1,872.86x = 1,564,214.73
  5. Step 5: Solve for x
    x = 1,564,214.73/1,872.86
  6. Step 6: Final answer
    x = 835.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.