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Finding the Fourth Proportional to 3,116.84, 4,301.80 and 1,857.98

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Solution

The fourth proportional to 3,116.84, 4,301.80 and 1,857.98 is: 2,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.84 : 4,301.80 = 1,857.98 : x
  2. Step 2: Convert to fraction form
    3,116.84/4,301.80 = 1,857.98/x
  3. Step 3: Cross multiply
    3,116.84x = 4,301.80 × 1,857.98
  4. Step 4: Simplify right side
    3,116.84x = 7,992,657.60
  5. Step 5: Solve for x
    x = 7,992,657.60/3,116.84
  6. Step 6: Final answer
    x = 2,564.34

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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.