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Finding the Fourth Proportional to 1,968.08, 2,964.50 and 1,666.76

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Solution

The fourth proportional to 1,968.08, 2,964.50 and 1,666.76 is: 2,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.08 : 2,964.50 = 1,666.76 : x
  2. Step 2: Convert to fraction form
    1,968.08/2,964.50 = 1,666.76/x
  3. Step 3: Cross multiply
    1,968.08x = 2,964.50 × 1,666.76
  4. Step 4: Simplify right side
    1,968.08x = 4,941,110.02
  5. Step 5: Solve for x
    x = 4,941,110.02/1,968.08
  6. Step 6: Final answer
    x = 2,510.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.