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Finding the Fourth Proportional to 3,161.40, 4,742.62 and 1,407.01

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Solution

The fourth proportional to 3,161.40, 4,742.62 and 1,407.01 is: 2,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.40 : 4,742.62 = 1,407.01 : x
  2. Step 2: Convert to fraction form
    3,161.40/4,742.62 = 1,407.01/x
  3. Step 3: Cross multiply
    3,161.40x = 4,742.62 × 1,407.01
  4. Step 4: Simplify right side
    3,161.40x = 6,672,913.77
  5. Step 5: Solve for x
    x = 6,672,913.77/3,161.40
  6. Step 6: Final answer
    x = 2,110.75

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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.