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Finding the Fourth Proportional to 2,560.51, 3,533.95 and 2,443.64

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Solution

The fourth proportional to 2,560.51, 3,533.95 and 2,443.64 is: 3,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.51 : 3,533.95 = 2,443.64 : x
  2. Step 2: Convert to fraction form
    2,560.51/3,533.95 = 2,443.64/x
  3. Step 3: Cross multiply
    2,560.51x = 3,533.95 × 2,443.64
  4. Step 4: Simplify right side
    2,560.51x = 8,635,686.63
  5. Step 5: Solve for x
    x = 8,635,686.63/2,560.51
  6. Step 6: Final answer
    x = 3,372.65

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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.