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Finding the Fourth Proportional to 1,549.76, 2,322.64 and 1,354.28

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Solution

The fourth proportional to 1,549.76, 2,322.64 and 1,354.28 is: 2,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.76 : 2,322.64 = 1,354.28 : x
  2. Step 2: Convert to fraction form
    1,549.76/2,322.64 = 1,354.28/x
  3. Step 3: Cross multiply
    1,549.76x = 2,322.64 × 1,354.28
  4. Step 4: Simplify right side
    1,549.76x = 3,145,504.90
  5. Step 5: Solve for x
    x = 3,145,504.90/1,549.76
  6. Step 6: Final answer
    x = 2,029.67

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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.