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Finding the Fourth Proportional to 3,100.02, 4,642.74 and 1,453.02

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Solution

The fourth proportional to 3,100.02, 4,642.74 and 1,453.02 is: 2,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.02 : 4,642.74 = 1,453.02 : x
  2. Step 2: Convert to fraction form
    3,100.02/4,642.74 = 1,453.02/x
  3. Step 3: Cross multiply
    3,100.02x = 4,642.74 × 1,453.02
  4. Step 4: Simplify right side
    3,100.02x = 6,745,994.07
  5. Step 5: Solve for x
    x = 6,745,994.07/3,100.02
  6. Step 6: Final answer
    x = 2,176.11

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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.