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Finding the Fourth Proportional to 2,903.07, 4,004.30 and 1,946.00

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Solution

The fourth proportional to 2,903.07, 4,004.30 and 1,946.00 is: 2,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.07 : 4,004.30 = 1,946.00 : x
  2. Step 2: Convert to fraction form
    2,903.07/4,004.30 = 1,946.00/x
  3. Step 3: Cross multiply
    2,903.07x = 4,004.30 × 1,946.00
  4. Step 4: Simplify right side
    2,903.07x = 7,792,338.05
  5. Step 5: Solve for x
    x = 7,792,338.05/2,903.07
  6. Step 6: Final answer
    x = 2,684.17

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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.