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Finding the Fourth Proportional to 1,975.95, 2,966.67 and 1,002.75

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Solution

The fourth proportional to 1,975.95, 2,966.67 and 1,002.75 is: 1,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.95 : 2,966.67 = 1,002.75 : x
  2. Step 2: Convert to fraction form
    1,975.95/2,966.67 = 1,002.75/x
  3. Step 3: Cross multiply
    1,975.95x = 2,966.67 × 1,002.75
  4. Step 4: Simplify right side
    1,975.95x = 2,974,828.34
  5. Step 5: Solve for x
    x = 2,974,828.34/1,975.95
  6. Step 6: Final answer
    x = 1,505.52

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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.