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Finding the Fourth Proportional to 1,769.63, 2,664.74 and 1,310.67

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Solution

The fourth proportional to 1,769.63, 2,664.74 and 1,310.67 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.63 : 2,664.74 = 1,310.67 : x
  2. Step 2: Convert to fraction form
    1,769.63/2,664.74 = 1,310.67/x
  3. Step 3: Cross multiply
    1,769.63x = 2,664.74 × 1,310.67
  4. Step 4: Simplify right side
    1,769.63x = 3,492,598.05
  5. Step 5: Solve for x
    x = 3,492,598.05/1,769.63
  6. Step 6: Final answer
    x = 1,973.64

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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.