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Finding the Fourth Proportional to 2,749.88, 3,795.03 and 1,702.14

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Solution

The fourth proportional to 2,749.88, 3,795.03 and 1,702.14 is: 2,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.88 : 3,795.03 = 1,702.14 : x
  2. Step 2: Convert to fraction form
    2,749.88/3,795.03 = 1,702.14/x
  3. Step 3: Cross multiply
    2,749.88x = 3,795.03 × 1,702.14
  4. Step 4: Simplify right side
    2,749.88x = 6,459,672.36
  5. Step 5: Solve for x
    x = 6,459,672.36/2,749.88
  6. Step 6: Final answer
    x = 2,349.08

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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.