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Finding the Fourth Proportional to 2,256.01, 3,384.14 and 697.09

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Solution

The fourth proportional to 2,256.01, 3,384.14 and 697.09 is: 1,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.01 : 3,384.14 = 697.09 : x
  2. Step 2: Convert to fraction form
    2,256.01/3,384.14 = 697.09/x
  3. Step 3: Cross multiply
    2,256.01x = 3,384.14 × 697.09
  4. Step 4: Simplify right side
    2,256.01x = 2,359,050.15
  5. Step 5: Solve for x
    x = 2,359,050.15/2,256.01
  6. Step 6: Final answer
    x = 1,045.67

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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.