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Finding the Fourth Proportional to 3,283.40, 4,926.72 and 1,434.24

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Solution

The fourth proportional to 3,283.40, 4,926.72 and 1,434.24 is: 2,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.40 : 4,926.72 = 1,434.24 : x
  2. Step 2: Convert to fraction form
    3,283.40/4,926.72 = 1,434.24/x
  3. Step 3: Cross multiply
    3,283.40x = 4,926.72 × 1,434.24
  4. Step 4: Simplify right side
    3,283.40x = 7,066,098.89
  5. Step 5: Solve for x
    x = 7,066,098.89/3,283.40
  6. Step 6: Final answer
    x = 2,152.07

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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.