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Finding the Fourth Proportional to 2,168.10, 2,990.70 and 1,504.80

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Solution

The fourth proportional to 2,168.10, 2,990.70 and 1,504.80 is: 2,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.10 : 2,990.70 = 1,504.80 : x
  2. Step 2: Convert to fraction form
    2,168.10/2,990.70 = 1,504.80/x
  3. Step 3: Cross multiply
    2,168.10x = 2,990.70 × 1,504.80
  4. Step 4: Simplify right side
    2,168.10x = 4,500,405.36
  5. Step 5: Solve for x
    x = 4,500,405.36/2,168.10
  6. Step 6: Final answer
    x = 2,075.74

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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.