Home / 2,560.24-3,534-1,775.32

Finding the Fourth Proportional to 2,560.24, 3,534 and 1,775.32

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Solution

The fourth proportional to 2,560.24, 3,534 and 1,775.32 is: 2,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.24 : 3,534 = 1,775.32 : x
  2. Step 2: Convert to fraction form
    2,560.24/3,534 = 1,775.32/x
  3. Step 3: Cross multiply
    2,560.24x = 3,534 × 1,775.32
  4. Step 4: Simplify right side
    2,560.24x = 6,273,980.88
  5. Step 5: Solve for x
    x = 6,273,980.88/2,560.24
  6. Step 6: Final answer
    x = 2,450.54

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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.