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Finding the Fourth Proportional to 2,946.84, 4,069.83 and 1,830.45

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Solution

The fourth proportional to 2,946.84, 4,069.83 and 1,830.45 is: 2,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.84 : 4,069.83 = 1,830.45 : x
  2. Step 2: Convert to fraction form
    2,946.84/4,069.83 = 1,830.45/x
  3. Step 3: Cross multiply
    2,946.84x = 4,069.83 × 1,830.45
  4. Step 4: Simplify right side
    2,946.84x = 7,449,620.32
  5. Step 5: Solve for x
    x = 7,449,620.32/2,946.84
  6. Step 6: Final answer
    x = 2,528.00

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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.