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Finding the Fourth Proportional to 1,409.83, 1,946.24 and 938.51

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Solution

The fourth proportional to 1,409.83, 1,946.24 and 938.51 is: 1,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.83 : 1,946.24 = 938.51 : x
  2. Step 2: Convert to fraction form
    1,409.83/1,946.24 = 938.51/x
  3. Step 3: Cross multiply
    1,409.83x = 1,946.24 × 938.51
  4. Step 4: Simplify right side
    1,409.83x = 1,826,565.70
  5. Step 5: Solve for x
    x = 1,826,565.70/1,409.83
  6. Step 6: Final answer
    x = 1,295.59

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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.