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Finding the Fourth Proportional to 2,465.34, 3,697.76 and 926.46

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Solution

The fourth proportional to 2,465.34, 3,697.76 and 926.46 is: 1,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.34 : 3,697.76 = 926.46 : x
  2. Step 2: Convert to fraction form
    2,465.34/3,697.76 = 926.46/x
  3. Step 3: Cross multiply
    2,465.34x = 3,697.76 × 926.46
  4. Step 4: Simplify right side
    2,465.34x = 3,425,826.73
  5. Step 5: Solve for x
    x = 3,425,826.73/2,465.34
  6. Step 6: Final answer
    x = 1,389.60

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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.