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Finding the Fourth Proportional to 2,373.33, 3,559.59 and 813.27

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Solution

The fourth proportional to 2,373.33, 3,559.59 and 813.27 is: 1,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.33 : 3,559.59 = 813.27 : x
  2. Step 2: Convert to fraction form
    2,373.33/3,559.59 = 813.27/x
  3. Step 3: Cross multiply
    2,373.33x = 3,559.59 × 813.27
  4. Step 4: Simplify right side
    2,373.33x = 2,894,907.76
  5. Step 5: Solve for x
    x = 2,894,907.76/2,373.33
  6. Step 6: Final answer
    x = 1,219.77

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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.