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Finding the Fourth Proportional to 1,549.74, 2,325.64 and 575.86

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Solution

The fourth proportional to 1,549.74, 2,325.64 and 575.86 is: 864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.74 : 2,325.64 = 575.86 : x
  2. Step 2: Convert to fraction form
    1,549.74/2,325.64 = 575.86/x
  3. Step 3: Cross multiply
    1,549.74x = 2,325.64 × 575.86
  4. Step 4: Simplify right side
    1,549.74x = 1,339,243.05
  5. Step 5: Solve for x
    x = 1,339,243.05/1,549.74
  6. Step 6: Final answer
    x = 864.17

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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.