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Finding the Fourth Proportional to 2,828.86, 3,905.85 and 1,886.87

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Solution

The fourth proportional to 2,828.86, 3,905.85 and 1,886.87 is: 2,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.86 : 3,905.85 = 1,886.87 : x
  2. Step 2: Convert to fraction form
    2,828.86/3,905.85 = 1,886.87/x
  3. Step 3: Cross multiply
    2,828.86x = 3,905.85 × 1,886.87
  4. Step 4: Simplify right side
    2,828.86x = 7,369,802.23
  5. Step 5: Solve for x
    x = 7,369,802.23/2,828.86
  6. Step 6: Final answer
    x = 2,605.22

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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.