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Finding the Fourth Proportional to 2,525.60, 3,483.28 and 2,174.88

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Solution

The fourth proportional to 2,525.60, 3,483.28 and 2,174.88 is: 2,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.60 : 3,483.28 = 2,174.88 : x
  2. Step 2: Convert to fraction form
    2,525.60/3,483.28 = 2,174.88/x
  3. Step 3: Cross multiply
    2,525.60x = 3,483.28 × 2,174.88
  4. Step 4: Simplify right side
    2,525.60x = 7,575,716.01
  5. Step 5: Solve for x
    x = 7,575,716.01/2,525.60
  6. Step 6: Final answer
    x = 2,999.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.