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Finding the Fourth Proportional to 2,495.08, 3,740.46 and 955

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Solution

The fourth proportional to 2,495.08, 3,740.46 and 955 is: 1,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.08 : 3,740.46 = 955 : x
  2. Step 2: Convert to fraction form
    2,495.08/3,740.46 = 955/x
  3. Step 3: Cross multiply
    2,495.08x = 3,740.46 × 955
  4. Step 4: Simplify right side
    2,495.08x = 3,572,139.30
  5. Step 5: Solve for x
    x = 3,572,139.30/2,495.08
  6. Step 6: Final answer
    x = 1,431.67

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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.