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Finding the Fourth Proportional to 2,133.56, 2,948.46 and 1,734.46

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Solution

The fourth proportional to 2,133.56, 2,948.46 and 1,734.46 is: 2,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.56 : 2,948.46 = 1,734.46 : x
  2. Step 2: Convert to fraction form
    2,133.56/2,948.46 = 1,734.46/x
  3. Step 3: Cross multiply
    2,133.56x = 2,948.46 × 1,734.46
  4. Step 4: Simplify right side
    2,133.56x = 5,113,985.93
  5. Step 5: Solve for x
    x = 5,113,985.93/2,133.56
  6. Step 6: Final answer
    x = 2,396.93

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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.