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Finding the Fourth Proportional to 4,943.51, 7,414.47 and 1,656.62

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Solution

The fourth proportional to 4,943.51, 7,414.47 and 1,656.62 is: 2,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.51 : 7,414.47 = 1,656.62 : x
  2. Step 2: Convert to fraction form
    4,943.51/7,414.47 = 1,656.62/x
  3. Step 3: Cross multiply
    4,943.51x = 7,414.47 × 1,656.62
  4. Step 4: Simplify right side
    4,943.51x = 12,282,922.22
  5. Step 5: Solve for x
    x = 12,282,922.22/4,943.51
  6. Step 6: Final answer
    x = 2,484.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.