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Finding the Fourth Proportional to 2,597.40, 3,874.23 and 2,415.96

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Solution

The fourth proportional to 2,597.40, 3,874.23 and 2,415.96 is: 3,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.40 : 3,874.23 = 2,415.96 : x
  2. Step 2: Convert to fraction form
    2,597.40/3,874.23 = 2,415.96/x
  3. Step 3: Cross multiply
    2,597.40x = 3,874.23 × 2,415.96
  4. Step 4: Simplify right side
    2,597.40x = 9,359,984.71
  5. Step 5: Solve for x
    x = 9,359,984.71/2,597.40
  6. Step 6: Final answer
    x = 3,603.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.