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Finding the Fourth Proportional to 2,979, 4,111.50 and 1,736.76

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Solution

The fourth proportional to 2,979, 4,111.50 and 1,736.76 is: 2,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979 : 4,111.50 = 1,736.76 : x
  2. Step 2: Convert to fraction form
    2,979/4,111.50 = 1,736.76/x
  3. Step 3: Cross multiply
    2,979x = 4,111.50 × 1,736.76
  4. Step 4: Simplify right side
    2,979x = 7,140,688.74
  5. Step 5: Solve for x
    x = 7,140,688.74/2,979
  6. Step 6: Final answer
    x = 2,397.01

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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.