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Finding the Fourth Proportional to 3,140, 4,333.34 and 1,742.76

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Solution

The fourth proportional to 3,140, 4,333.34 and 1,742.76 is: 2,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 4,333.34 = 1,742.76 : x
  2. Step 2: Convert to fraction form
    3,140/4,333.34 = 1,742.76/x
  3. Step 3: Cross multiply
    3,140x = 4,333.34 × 1,742.76
  4. Step 4: Simplify right side
    3,140x = 7,551,971.62
  5. Step 5: Solve for x
    x = 7,551,971.62/3,140
  6. Step 6: Final answer
    x = 2,405.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.