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Finding the Fourth Proportional to 2,561.45, 3,839.74 and 1,574.87

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Solution

The fourth proportional to 2,561.45, 3,839.74 and 1,574.87 is: 2,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.45 : 3,839.74 = 1,574.87 : x
  2. Step 2: Convert to fraction form
    2,561.45/3,839.74 = 1,574.87/x
  3. Step 3: Cross multiply
    2,561.45x = 3,839.74 × 1,574.87
  4. Step 4: Simplify right side
    2,561.45x = 6,047,068.20
  5. Step 5: Solve for x
    x = 6,047,068.20/2,561.45
  6. Step 6: Final answer
    x = 2,360.80

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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.