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Finding the Fourth Proportional to 1,309.04, 1,965 and 1,106.12

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Solution

The fourth proportional to 1,309.04, 1,965 and 1,106.12 is: 1,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.04 : 1,965 = 1,106.12 : x
  2. Step 2: Convert to fraction form
    1,309.04/1,965 = 1,106.12/x
  3. Step 3: Cross multiply
    1,309.04x = 1,965 × 1,106.12
  4. Step 4: Simplify right side
    1,309.04x = 2,173,525.80
  5. Step 5: Solve for x
    x = 2,173,525.80/1,309.04
  6. Step 6: Final answer
    x = 1,660.40

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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.