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Finding the Fourth Proportional to 4,182.40, 6,266.40 and 2,205.10

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Solution

The fourth proportional to 4,182.40, 6,266.40 and 2,205.10 is: 3,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.40 : 6,266.40 = 2,205.10 : x
  2. Step 2: Convert to fraction form
    4,182.40/6,266.40 = 2,205.10/x
  3. Step 3: Cross multiply
    4,182.40x = 6,266.40 × 2,205.10
  4. Step 4: Simplify right side
    4,182.40x = 13,818,038.64
  5. Step 5: Solve for x
    x = 13,818,038.64/4,182.40
  6. Step 6: Final answer
    x = 3,303.85

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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.