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Finding the Fourth Proportional to 1,941.65, 2,678.03 and 1,232.88

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Solution

The fourth proportional to 1,941.65, 2,678.03 and 1,232.88 is: 1,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.65 : 2,678.03 = 1,232.88 : x
  2. Step 2: Convert to fraction form
    1,941.65/2,678.03 = 1,232.88/x
  3. Step 3: Cross multiply
    1,941.65x = 2,678.03 × 1,232.88
  4. Step 4: Simplify right side
    1,941.65x = 3,301,689.63
  5. Step 5: Solve for x
    x = 3,301,689.63/1,941.65
  6. Step 6: Final answer
    x = 1,700.46

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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.