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Finding the Fourth Proportional to 2,969.68, 4,451.58 and 1,406.93

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Solution

The fourth proportional to 2,969.68, 4,451.58 and 1,406.93 is: 2,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.68 : 4,451.58 = 1,406.93 : x
  2. Step 2: Convert to fraction form
    2,969.68/4,451.58 = 1,406.93/x
  3. Step 3: Cross multiply
    2,969.68x = 4,451.58 × 1,406.93
  4. Step 4: Simplify right side
    2,969.68x = 6,263,072.58
  5. Step 5: Solve for x
    x = 6,263,072.58/2,969.68
  6. Step 6: Final answer
    x = 2,109.01

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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.