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Finding the Fourth Proportional to 1,669.65, 2,303.91 and 923.51

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Solution

The fourth proportional to 1,669.65, 2,303.91 and 923.51 is: 1,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.65 : 2,303.91 = 923.51 : x
  2. Step 2: Convert to fraction form
    1,669.65/2,303.91 = 923.51/x
  3. Step 3: Cross multiply
    1,669.65x = 2,303.91 × 923.51
  4. Step 4: Simplify right side
    1,669.65x = 2,127,672.40
  5. Step 5: Solve for x
    x = 2,127,672.40/1,669.65
  6. Step 6: Final answer
    x = 1,274.32

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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.