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Finding the Fourth Proportional to 1,931.47, 2,665.08 and 1,080.74

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Solution

The fourth proportional to 1,931.47, 2,665.08 and 1,080.74 is: 1,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.47 : 2,665.08 = 1,080.74 : x
  2. Step 2: Convert to fraction form
    1,931.47/2,665.08 = 1,080.74/x
  3. Step 3: Cross multiply
    1,931.47x = 2,665.08 × 1,080.74
  4. Step 4: Simplify right side
    1,931.47x = 2,880,258.56
  5. Step 5: Solve for x
    x = 2,880,258.56/1,931.47
  6. Step 6: Final answer
    x = 1,491.23

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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.