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Finding the Fourth Proportional to 2,162.58, 2,981.25 and 1,540.50

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Solution

The fourth proportional to 2,162.58, 2,981.25 and 1,540.50 is: 2,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.58 : 2,981.25 = 1,540.50 : x
  2. Step 2: Convert to fraction form
    2,162.58/2,981.25 = 1,540.50/x
  3. Step 3: Cross multiply
    2,162.58x = 2,981.25 × 1,540.50
  4. Step 4: Simplify right side
    2,162.58x = 4,592,615.63
  5. Step 5: Solve for x
    x = 4,592,615.63/2,162.58
  6. Step 6: Final answer
    x = 2,123.67

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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.