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Finding the Fourth Proportional to 1,767.08, 2,438.64 and 981.13

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Solution

The fourth proportional to 1,767.08, 2,438.64 and 981.13 is: 1,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.08 : 2,438.64 = 981.13 : x
  2. Step 2: Convert to fraction form
    1,767.08/2,438.64 = 981.13/x
  3. Step 3: Cross multiply
    1,767.08x = 2,438.64 × 981.13
  4. Step 4: Simplify right side
    1,767.08x = 2,392,614.35
  5. Step 5: Solve for x
    x = 2,392,614.35/1,767.08
  6. Step 6: Final answer
    x = 1,353.99

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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.