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Finding the Fourth Proportional to 1,931.43, 2,666.84 and 1,186.41

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Solution

The fourth proportional to 1,931.43, 2,666.84 and 1,186.41 is: 1,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.43 : 2,666.84 = 1,186.41 : x
  2. Step 2: Convert to fraction form
    1,931.43/2,666.84 = 1,186.41/x
  3. Step 3: Cross multiply
    1,931.43x = 2,666.84 × 1,186.41
  4. Step 4: Simplify right side
    1,931.43x = 3,163,959.71
  5. Step 5: Solve for x
    x = 3,163,959.71/1,931.43
  6. Step 6: Final answer
    x = 1,638.14

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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.