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Finding the Fourth Proportional to 1,767.03, 2,438.64 and 1,020.99

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Solution

The fourth proportional to 1,767.03, 2,438.64 and 1,020.99 is: 1,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.03 : 2,438.64 = 1,020.99 : x
  2. Step 2: Convert to fraction form
    1,767.03/2,438.64 = 1,020.99/x
  3. Step 3: Cross multiply
    1,767.03x = 2,438.64 × 1,020.99
  4. Step 4: Simplify right side
    1,767.03x = 2,489,827.05
  5. Step 5: Solve for x
    x = 2,489,827.05/1,767.03
  6. Step 6: Final answer
    x = 1,409.05

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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.