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Finding the Fourth Proportional to 2,444.64, 3,374.68 and 1,561.64

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Solution

The fourth proportional to 2,444.64, 3,374.68 and 1,561.64 is: 2,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.64 : 3,374.68 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    2,444.64/3,374.68 = 1,561.64/x
  3. Step 3: Cross multiply
    2,444.64x = 3,374.68 × 1,561.64
  4. Step 4: Simplify right side
    2,444.64x = 5,270,035.28
  5. Step 5: Solve for x
    x = 5,270,035.28/2,444.64
  6. Step 6: Final answer
    x = 2,155.75

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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.