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Finding the Fourth Proportional to 1,407.63, 2,112.66 and 921.27

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Solution

The fourth proportional to 1,407.63, 2,112.66 and 921.27 is: 1,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.63 : 2,112.66 = 921.27 : x
  2. Step 2: Convert to fraction form
    1,407.63/2,112.66 = 921.27/x
  3. Step 3: Cross multiply
    1,407.63x = 2,112.66 × 921.27
  4. Step 4: Simplify right side
    1,407.63x = 1,946,330.28
  5. Step 5: Solve for x
    x = 1,946,330.28/1,407.63
  6. Step 6: Final answer
    x = 1,382.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.