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Finding the Fourth Proportional to 2,980.70, 4,468.31 and 1,031.53

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Solution

The fourth proportional to 2,980.70, 4,468.31 and 1,031.53 is: 1,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.70 : 4,468.31 = 1,031.53 : x
  2. Step 2: Convert to fraction form
    2,980.70/4,468.31 = 1,031.53/x
  3. Step 3: Cross multiply
    2,980.70x = 4,468.31 × 1,031.53
  4. Step 4: Simplify right side
    2,980.70x = 4,609,195.81
  5. Step 5: Solve for x
    x = 4,609,195.81/2,980.70
  6. Step 6: Final answer
    x = 1,546.35

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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.