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Finding the Fourth Proportional to 2,537.76, 3,804 and 1,614

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Solution

The fourth proportional to 2,537.76, 3,804 and 1,614 is: 2,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.76 : 3,804 = 1,614 : x
  2. Step 2: Convert to fraction form
    2,537.76/3,804 = 1,614/x
  3. Step 3: Cross multiply
    2,537.76x = 3,804 × 1,614
  4. Step 4: Simplify right side
    2,537.76x = 6,139,656
  5. Step 5: Solve for x
    x = 6,139,656/2,537.76
  6. Step 6: Final answer
    x = 2,419.32

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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.