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Finding the Fourth Proportional to 2,984.94, 4,477.86 and 1,036.62

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Solution

The fourth proportional to 2,984.94, 4,477.86 and 1,036.62 is: 1,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.94 : 4,477.86 = 1,036.62 : x
  2. Step 2: Convert to fraction form
    2,984.94/4,477.86 = 1,036.62/x
  3. Step 3: Cross multiply
    2,984.94x = 4,477.86 × 1,036.62
  4. Step 4: Simplify right side
    2,984.94x = 4,641,839.23
  5. Step 5: Solve for x
    x = 4,641,839.23/2,984.94
  6. Step 6: Final answer
    x = 1,555.09

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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.