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Finding the Fourth Proportional to 1,561.64, 2,344.06 and 1,052.20

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Solution

The fourth proportional to 1,561.64, 2,344.06 and 1,052.20 is: 1,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.64 : 2,344.06 = 1,052.20 : x
  2. Step 2: Convert to fraction form
    1,561.64/2,344.06 = 1,052.20/x
  3. Step 3: Cross multiply
    1,561.64x = 2,344.06 × 1,052.20
  4. Step 4: Simplify right side
    1,561.64x = 2,466,419.93
  5. Step 5: Solve for x
    x = 2,466,419.93/1,561.64
  6. Step 6: Final answer
    x = 1,579.38

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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.