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Finding the Fourth Proportional to 1,769.06, 2,435.72 and 1,502.94

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Solution

The fourth proportional to 1,769.06, 2,435.72 and 1,502.94 is: 2,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.06 : 2,435.72 = 1,502.94 : x
  2. Step 2: Convert to fraction form
    1,769.06/2,435.72 = 1,502.94/x
  3. Step 3: Cross multiply
    1,769.06x = 2,435.72 × 1,502.94
  4. Step 4: Simplify right side
    1,769.06x = 3,660,741.02
  5. Step 5: Solve for x
    x = 3,660,741.02/1,769.06
  6. Step 6: Final answer
    x = 2,069.31

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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.