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Finding the Fourth Proportional to 3,374.09, 4,656.36 and 1,957.67

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Solution

The fourth proportional to 3,374.09, 4,656.36 and 1,957.67 is: 2,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.09 : 4,656.36 = 1,957.67 : x
  2. Step 2: Convert to fraction form
    3,374.09/4,656.36 = 1,957.67/x
  3. Step 3: Cross multiply
    3,374.09x = 4,656.36 × 1,957.67
  4. Step 4: Simplify right side
    3,374.09x = 9,115,616.28
  5. Step 5: Solve for x
    x = 9,115,616.28/3,374.09
  6. Step 6: Final answer
    x = 2,701.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.