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Finding the Fourth Proportional to 1,752.27, 2,416.77 and 1,122.86

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Solution

The fourth proportional to 1,752.27, 2,416.77 and 1,122.86 is: 1,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.27 : 2,416.77 = 1,122.86 : x
  2. Step 2: Convert to fraction form
    1,752.27/2,416.77 = 1,122.86/x
  3. Step 3: Cross multiply
    1,752.27x = 2,416.77 × 1,122.86
  4. Step 4: Simplify right side
    1,752.27x = 2,713,691.34
  5. Step 5: Solve for x
    x = 2,713,691.34/1,752.27
  6. Step 6: Final answer
    x = 1,548.67

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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.