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Finding the Fourth Proportional to 2,583.99, 3,875.94 and 735.12

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Solution

The fourth proportional to 2,583.99, 3,875.94 and 735.12 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.99 : 3,875.94 = 735.12 : x
  2. Step 2: Convert to fraction form
    2,583.99/3,875.94 = 735.12/x
  3. Step 3: Cross multiply
    2,583.99x = 3,875.94 × 735.12
  4. Step 4: Simplify right side
    2,583.99x = 2,849,281.01
  5. Step 5: Solve for x
    x = 2,849,281.01/2,583.99
  6. Step 6: Final answer
    x = 1,102.67

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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.