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Finding the Fourth Proportional to 3,184.95, 4,774.70 and 1,209.47

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Solution

The fourth proportional to 3,184.95, 4,774.70 and 1,209.47 is: 1,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.95 : 4,774.70 = 1,209.47 : x
  2. Step 2: Convert to fraction form
    3,184.95/4,774.70 = 1,209.47/x
  3. Step 3: Cross multiply
    3,184.95x = 4,774.70 × 1,209.47
  4. Step 4: Simplify right side
    3,184.95x = 5,774,871.37
  5. Step 5: Solve for x
    x = 5,774,871.37/3,184.95
  6. Step 6: Final answer
    x = 1,813.17

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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.