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Finding the Fourth Proportional to 2,348.47, 3,521.56 and 866.67

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Solution

The fourth proportional to 2,348.47, 3,521.56 and 866.67 is: 1,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.47 : 3,521.56 = 866.67 : x
  2. Step 2: Convert to fraction form
    2,348.47/3,521.56 = 866.67/x
  3. Step 3: Cross multiply
    2,348.47x = 3,521.56 × 866.67
  4. Step 4: Simplify right side
    2,348.47x = 3,052,030.41
  5. Step 5: Solve for x
    x = 3,052,030.41/2,348.47
  6. Step 6: Final answer
    x = 1,299.58

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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.