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Finding the Fourth Proportional to 1,206.12, 1,809.05 and 340.41

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Solution

The fourth proportional to 1,206.12, 1,809.05 and 340.41 is: 510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.12 : 1,809.05 = 340.41 : x
  2. Step 2: Convert to fraction form
    1,206.12/1,809.05 = 340.41/x
  3. Step 3: Cross multiply
    1,206.12x = 1,809.05 × 340.41
  4. Step 4: Simplify right side
    1,206.12x = 615,817.01
  5. Step 5: Solve for x
    x = 615,817.01/1,206.12
  6. Step 6: Final answer
    x = 510.58

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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.