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Finding the Fourth Proportional to 3,031.74, 4,549.10 and 1,084.10

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Solution

The fourth proportional to 3,031.74, 4,549.10 and 1,084.10 is: 1,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.74 : 4,549.10 = 1,084.10 : x
  2. Step 2: Convert to fraction form
    3,031.74/4,549.10 = 1,084.10/x
  3. Step 3: Cross multiply
    3,031.74x = 4,549.10 × 1,084.10
  4. Step 4: Simplify right side
    3,031.74x = 4,931,651.14
  5. Step 5: Solve for x
    x = 4,931,651.14/3,031.74
  6. Step 6: Final answer
    x = 1,626.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.