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Finding the Fourth Proportional to 2,733.34, 3,770.80 and 1,686.01

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Solution

The fourth proportional to 2,733.34, 3,770.80 and 1,686.01 is: 2,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.34 : 3,770.80 = 1,686.01 : x
  2. Step 2: Convert to fraction form
    2,733.34/3,770.80 = 1,686.01/x
  3. Step 3: Cross multiply
    2,733.34x = 3,770.80 × 1,686.01
  4. Step 4: Simplify right side
    2,733.34x = 6,357,606.51
  5. Step 5: Solve for x
    x = 6,357,606.51/2,733.34
  6. Step 6: Final answer
    x = 2,325.95

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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.