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Finding the Fourth Proportional to 2,969.80, 4,457.44 and 1,510

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Solution

The fourth proportional to 2,969.80, 4,457.44 and 1,510 is: 2,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.80 : 4,457.44 = 1,510 : x
  2. Step 2: Convert to fraction form
    2,969.80/4,457.44 = 1,510/x
  3. Step 3: Cross multiply
    2,969.80x = 4,457.44 × 1,510
  4. Step 4: Simplify right side
    2,969.80x = 6,730,734.40
  5. Step 5: Solve for x
    x = 6,730,734.40/2,969.80
  6. Step 6: Final answer
    x = 2,266.39

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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.