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Finding the Fourth Proportional to 3,137.60, 4,706.40 and 1,409.60

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Solution

The fourth proportional to 3,137.60, 4,706.40 and 1,409.60 is: 2,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,706.40 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,706.40 = 1,409.60/x
  3. Step 3: Cross multiply
    3,137.60x = 4,706.40 × 1,409.60
  4. Step 4: Simplify right side
    3,137.60x = 6,634,141.44
  5. Step 5: Solve for x
    x = 6,634,141.44/3,137.60
  6. Step 6: Final answer
    x = 2,114.40

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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.