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Finding the Fourth Proportional to 2,425.13, 3,639 and 1,878.38

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Solution

The fourth proportional to 2,425.13, 3,639 and 1,878.38 is: 2,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.13 : 3,639 = 1,878.38 : x
  2. Step 2: Convert to fraction form
    2,425.13/3,639 = 1,878.38/x
  3. Step 3: Cross multiply
    2,425.13x = 3,639 × 1,878.38
  4. Step 4: Simplify right side
    2,425.13x = 6,835,406.63
  5. Step 5: Solve for x
    x = 6,835,406.63/2,425.13
  6. Step 6: Final answer
    x = 2,818.58

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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.