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Finding the Fourth Proportional to 1,964.90, 2,942.07 and 1,715.76

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Solution

The fourth proportional to 1,964.90, 2,942.07 and 1,715.76 is: 2,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.90 : 2,942.07 = 1,715.76 : x
  2. Step 2: Convert to fraction form
    1,964.90/2,942.07 = 1,715.76/x
  3. Step 3: Cross multiply
    1,964.90x = 2,942.07 × 1,715.76
  4. Step 4: Simplify right side
    1,964.90x = 5,047,886.02
  5. Step 5: Solve for x
    x = 5,047,886.02/1,964.90
  6. Step 6: Final answer
    x = 2,569.03

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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.