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Finding the Fourth Proportional to 1,366.91, 1,886.89 and 948.63

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Solution

The fourth proportional to 1,366.91, 1,886.89 and 948.63 is: 1,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.91 : 1,886.89 = 948.63 : x
  2. Step 2: Convert to fraction form
    1,366.91/1,886.89 = 948.63/x
  3. Step 3: Cross multiply
    1,366.91x = 1,886.89 × 948.63
  4. Step 4: Simplify right side
    1,366.91x = 1,789,960.46
  5. Step 5: Solve for x
    x = 1,789,960.46/1,366.91
  6. Step 6: Final answer
    x = 1,309.50

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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.