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Finding the Fourth Proportional to 1,473.84, 2,031.60 and 1,100.28

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Solution

The fourth proportional to 1,473.84, 2,031.60 and 1,100.28 is: 1,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.84 : 2,031.60 = 1,100.28 : x
  2. Step 2: Convert to fraction form
    1,473.84/2,031.60 = 1,100.28/x
  3. Step 3: Cross multiply
    1,473.84x = 2,031.60 × 1,100.28
  4. Step 4: Simplify right side
    1,473.84x = 2,235,328.85
  5. Step 5: Solve for x
    x = 2,235,328.85/1,473.84
  6. Step 6: Final answer
    x = 1,516.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.