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Finding the Fourth Proportional to 2,946.46, 4,419.01 and 1,302.11

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Solution

The fourth proportional to 2,946.46, 4,419.01 and 1,302.11 is: 1,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.46 : 4,419.01 = 1,302.11 : x
  2. Step 2: Convert to fraction form
    2,946.46/4,419.01 = 1,302.11/x
  3. Step 3: Cross multiply
    2,946.46x = 4,419.01 × 1,302.11
  4. Step 4: Simplify right side
    2,946.46x = 5,754,025.89
  5. Step 5: Solve for x
    x = 5,754,025.89/2,946.46
  6. Step 6: Final answer
    x = 1,952.86

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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.