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Finding the Fourth Proportional to 3,148.58, 4,715.67 and 1,506.28

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Solution

The fourth proportional to 3,148.58, 4,715.67 and 1,506.28 is: 2,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.58 : 4,715.67 = 1,506.28 : x
  2. Step 2: Convert to fraction form
    3,148.58/4,715.67 = 1,506.28/x
  3. Step 3: Cross multiply
    3,148.58x = 4,715.67 × 1,506.28
  4. Step 4: Simplify right side
    3,148.58x = 7,103,119.41
  5. Step 5: Solve for x
    x = 7,103,119.41/3,148.58
  6. Step 6: Final answer
    x = 2,255.98

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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.