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Finding the Fourth Proportional to 1,669.46, 2,303.81 and 923.40

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Solution

The fourth proportional to 1,669.46, 2,303.81 and 923.40 is: 1,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.46 : 2,303.81 = 923.40 : x
  2. Step 2: Convert to fraction form
    1,669.46/2,303.81 = 923.40/x
  3. Step 3: Cross multiply
    1,669.46x = 2,303.81 × 923.40
  4. Step 4: Simplify right side
    1,669.46x = 2,127,338.15
  5. Step 5: Solve for x
    x = 2,127,338.15/1,669.46
  6. Step 6: Final answer
    x = 1,274.27

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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.