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Finding the Fourth Proportional to 1,639.89, 2,263.06 and 931.71

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Solution

The fourth proportional to 1,639.89, 2,263.06 and 931.71 is: 1,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.89 : 2,263.06 = 931.71 : x
  2. Step 2: Convert to fraction form
    1,639.89/2,263.06 = 931.71/x
  3. Step 3: Cross multiply
    1,639.89x = 2,263.06 × 931.71
  4. Step 4: Simplify right side
    1,639.89x = 2,108,515.63
  5. Step 5: Solve for x
    x = 2,108,515.63/1,639.89
  6. Step 6: Final answer
    x = 1,285.77

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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.