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Finding the Fourth Proportional to 2,349.12, 3,242.08 and 1,788.60

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Solution

The fourth proportional to 2,349.12, 3,242.08 and 1,788.60 is: 2,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.12 : 3,242.08 = 1,788.60 : x
  2. Step 2: Convert to fraction form
    2,349.12/3,242.08 = 1,788.60/x
  3. Step 3: Cross multiply
    2,349.12x = 3,242.08 × 1,788.60
  4. Step 4: Simplify right side
    2,349.12x = 5,798,784.29
  5. Step 5: Solve for x
    x = 5,798,784.29/2,349.12
  6. Step 6: Final answer
    x = 2,468.49

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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.