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Finding the Fourth Proportional to 3,137.60, 4,706.40 and 947.86

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Solution

The fourth proportional to 3,137.60, 4,706.40 and 947.86 is: 1,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,706.40 = 947.86 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,706.40 = 947.86/x
  3. Step 3: Cross multiply
    3,137.60x = 4,706.40 × 947.86
  4. Step 4: Simplify right side
    3,137.60x = 4,461,008.30
  5. Step 5: Solve for x
    x = 4,461,008.30/3,137.60
  6. Step 6: Final answer
    x = 1,421.79

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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.