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Finding the Fourth Proportional to 2,758.05, 4,129.79 and 2,430

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Solution

The fourth proportional to 2,758.05, 4,129.79 and 2,430 is: 3,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.05 : 4,129.79 = 2,430 : x
  2. Step 2: Convert to fraction form
    2,758.05/4,129.79 = 2,430/x
  3. Step 3: Cross multiply
    2,758.05x = 4,129.79 × 2,430
  4. Step 4: Simplify right side
    2,758.05x = 10,035,377.55
  5. Step 5: Solve for x
    x = 10,035,377.55/2,758.05
  6. Step 6: Final answer
    x = 3,638.58

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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.