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Finding the Fourth Proportional to 3,477.94, 4,798.95 and 1,985.61

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Solution

The fourth proportional to 3,477.94, 4,798.95 and 1,985.61 is: 2,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 4,798.95 = 1,985.61 : x
  2. Step 2: Convert to fraction form
    3,477.94/4,798.95 = 1,985.61/x
  3. Step 3: Cross multiply
    3,477.94x = 4,798.95 × 1,985.61
  4. Step 4: Simplify right side
    3,477.94x = 9,528,853.66
  5. Step 5: Solve for x
    x = 9,528,853.66/3,477.94
  6. Step 6: Final answer
    x = 2,739.80

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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.