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Finding the Fourth Proportional to 2,349.48, 3,245 and 1,562.16

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Solution

The fourth proportional to 2,349.48, 3,245 and 1,562.16 is: 2,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.48 : 3,245 = 1,562.16 : x
  2. Step 2: Convert to fraction form
    2,349.48/3,245 = 1,562.16/x
  3. Step 3: Cross multiply
    2,349.48x = 3,245 × 1,562.16
  4. Step 4: Simplify right side
    2,349.48x = 5,069,209.20
  5. Step 5: Solve for x
    x = 5,069,209.20/2,349.48
  6. Step 6: Final answer
    x = 2,157.59

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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.