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Finding the Fourth Proportional to 2,205.80, 3,046 and 1,421.18

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Solution

The fourth proportional to 2,205.80, 3,046 and 1,421.18 is: 1,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.80 : 3,046 = 1,421.18 : x
  2. Step 2: Convert to fraction form
    2,205.80/3,046 = 1,421.18/x
  3. Step 3: Cross multiply
    2,205.80x = 3,046 × 1,421.18
  4. Step 4: Simplify right side
    2,205.80x = 4,328,914.28
  5. Step 5: Solve for x
    x = 4,328,914.28/2,205.80
  6. Step 6: Final answer
    x = 1,962.51

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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.