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Finding the Fourth Proportional to 1,833.46, 2,529.90 and 1,036.58

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Solution

The fourth proportional to 1,833.46, 2,529.90 and 1,036.58 is: 1,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.46 : 2,529.90 = 1,036.58 : x
  2. Step 2: Convert to fraction form
    1,833.46/2,529.90 = 1,036.58/x
  3. Step 3: Cross multiply
    1,833.46x = 2,529.90 × 1,036.58
  4. Step 4: Simplify right side
    1,833.46x = 2,622,431.09
  5. Step 5: Solve for x
    x = 2,622,431.09/1,833.46
  6. Step 6: Final answer
    x = 1,430.32

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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.