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Finding the Fourth Proportional to 3,107.04, 4,660.55 and 915.78

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Solution

The fourth proportional to 3,107.04, 4,660.55 and 915.78 is: 1,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.04 : 4,660.55 = 915.78 : x
  2. Step 2: Convert to fraction form
    3,107.04/4,660.55 = 915.78/x
  3. Step 3: Cross multiply
    3,107.04x = 4,660.55 × 915.78
  4. Step 4: Simplify right side
    3,107.04x = 4,268,054.81
  5. Step 5: Solve for x
    x = 4,268,054.81/3,107.04
  6. Step 6: Final answer
    x = 1,373.67

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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.