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Finding the Fourth Proportional to 1,606.90, 2,323.52 and 1,606.90

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Solution

The fourth proportional to 1,606.90, 2,323.52 and 1,606.90 is: 2,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.90 : 2,323.52 = 1,606.90 : x
  2. Step 2: Convert to fraction form
    1,606.90/2,323.52 = 1,606.90/x
  3. Step 3: Cross multiply
    1,606.90x = 2,323.52 × 1,606.90
  4. Step 4: Simplify right side
    1,606.90x = 3,733,664.29
  5. Step 5: Solve for x
    x = 3,733,664.29/1,606.90
  6. Step 6: Final answer
    x = 2,323.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.