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Finding the Fourth Proportional to 1,539.54, 2,306.00 and 953.15

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Solution

The fourth proportional to 1,539.54, 2,306.00 and 953.15 is: 1,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.54 : 2,306.00 = 953.15 : x
  2. Step 2: Convert to fraction form
    1,539.54/2,306.00 = 953.15/x
  3. Step 3: Cross multiply
    1,539.54x = 2,306.00 × 953.15
  4. Step 4: Simplify right side
    1,539.54x = 2,197,954.75
  5. Step 5: Solve for x
    x = 2,197,954.75/1,539.54
  6. Step 6: Final answer
    x = 1,427.67

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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.