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Finding the Fourth Proportional to 3,374.07, 4,656.11 and 1,956.84

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Solution

The fourth proportional to 3,374.07, 4,656.11 and 1,956.84 is: 2,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.07 : 4,656.11 = 1,956.84 : x
  2. Step 2: Convert to fraction form
    3,374.07/4,656.11 = 1,956.84/x
  3. Step 3: Cross multiply
    3,374.07x = 4,656.11 × 1,956.84
  4. Step 4: Simplify right side
    3,374.07x = 9,111,252.51
  5. Step 5: Solve for x
    x = 9,111,252.51/3,374.07
  6. Step 6: Final answer
    x = 2,700.37

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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.