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Finding the Fourth Proportional to 3,052.99, 4,580.00 and 1,203.13

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Solution

The fourth proportional to 3,052.99, 4,580.00 and 1,203.13 is: 1,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.99 : 4,580.00 = 1,203.13 : x
  2. Step 2: Convert to fraction form
    3,052.99/4,580.00 = 1,203.13/x
  3. Step 3: Cross multiply
    3,052.99x = 4,580.00 × 1,203.13
  4. Step 4: Simplify right side
    3,052.99x = 5,510,306.48
  5. Step 5: Solve for x
    x = 5,510,306.48/3,052.99
  6. Step 6: Final answer
    x = 1,804.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.