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Finding the Fourth Proportional to 3,156.60, 4,734.58 and 1,401.64

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Solution

The fourth proportional to 3,156.60, 4,734.58 and 1,401.64 is: 2,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.60 : 4,734.58 = 1,401.64 : x
  2. Step 2: Convert to fraction form
    3,156.60/4,734.58 = 1,401.64/x
  3. Step 3: Cross multiply
    3,156.60x = 4,734.58 × 1,401.64
  4. Step 4: Simplify right side
    3,156.60x = 6,636,146.03
  5. Step 5: Solve for x
    x = 6,636,146.03/3,156.60
  6. Step 6: Final answer
    x = 2,102.31

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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.