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Finding the Fourth Proportional to 1,833.13, 2,529.06 and 1,204.00

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Solution

The fourth proportional to 1,833.13, 2,529.06 and 1,204.00 is: 1,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.13 : 2,529.06 = 1,204.00 : x
  2. Step 2: Convert to fraction form
    1,833.13/2,529.06 = 1,204.00/x
  3. Step 3: Cross multiply
    1,833.13x = 2,529.06 × 1,204.00
  4. Step 4: Simplify right side
    1,833.13x = 3,044,980.56
  5. Step 5: Solve for x
    x = 3,044,980.56/1,833.13
  6. Step 6: Final answer
    x = 1,661.08

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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.