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Finding the Fourth Proportional to 3,266.30, 4,899.45 and 1,970.30

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Solution

The fourth proportional to 3,266.30, 4,899.45 and 1,970.30 is: 2,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.30 : 4,899.45 = 1,970.30 : x
  2. Step 2: Convert to fraction form
    3,266.30/4,899.45 = 1,970.30/x
  3. Step 3: Cross multiply
    3,266.30x = 4,899.45 × 1,970.30
  4. Step 4: Simplify right side
    3,266.30x = 9,653,386.34
  5. Step 5: Solve for x
    x = 9,653,386.34/3,266.30
  6. Step 6: Final answer
    x = 2,955.45

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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.