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Finding the Fourth Proportional to 2,002.95, 2,764.23 and 1,474.25

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Solution

The fourth proportional to 2,002.95, 2,764.23 and 1,474.25 is: 2,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.95 : 2,764.23 = 1,474.25 : x
  2. Step 2: Convert to fraction form
    2,002.95/2,764.23 = 1,474.25/x
  3. Step 3: Cross multiply
    2,002.95x = 2,764.23 × 1,474.25
  4. Step 4: Simplify right side
    2,002.95x = 4,075,158.71
  5. Step 5: Solve for x
    x = 4,075,158.71/2,002.95
  6. Step 6: Final answer
    x = 2,034.58

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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.