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Finding the Fourth Proportional to 1,735.68, 2,396 and 1,213.76

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Solution

The fourth proportional to 1,735.68, 2,396 and 1,213.76 is: 1,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.68 : 2,396 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    1,735.68/2,396 = 1,213.76/x
  3. Step 3: Cross multiply
    1,735.68x = 2,396 × 1,213.76
  4. Step 4: Simplify right side
    1,735.68x = 2,908,168.96
  5. Step 5: Solve for x
    x = 2,908,168.96/1,735.68
  6. Step 6: Final answer
    x = 1,675.52

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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.