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Finding the Fourth Proportional to 2,388.69, 3,577.86 and 2,125.74

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Solution

The fourth proportional to 2,388.69, 3,577.86 and 2,125.74 is: 3,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.69 : 3,577.86 = 2,125.74 : x
  2. Step 2: Convert to fraction form
    2,388.69/3,577.86 = 2,125.74/x
  3. Step 3: Cross multiply
    2,388.69x = 3,577.86 × 2,125.74
  4. Step 4: Simplify right side
    2,388.69x = 7,605,600.12
  5. Step 5: Solve for x
    x = 7,605,600.12/2,388.69
  6. Step 6: Final answer
    x = 3,184.00

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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.