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Finding the Fourth Proportional to 2,570.94, 3,546.18 and 1,784.43

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Solution

The fourth proportional to 2,570.94, 3,546.18 and 1,784.43 is: 2,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.94 : 3,546.18 = 1,784.43 : x
  2. Step 2: Convert to fraction form
    2,570.94/3,546.18 = 1,784.43/x
  3. Step 3: Cross multiply
    2,570.94x = 3,546.18 × 1,784.43
  4. Step 4: Simplify right side
    2,570.94x = 6,327,909.98
  5. Step 5: Solve for x
    x = 6,327,909.98/2,570.94
  6. Step 6: Final answer
    x = 2,461.32

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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.