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Finding the Fourth Proportional to 2,388.60, 3,587.76 and 2,097

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Solution

The fourth proportional to 2,388.60, 3,587.76 and 2,097 is: 3,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.60 : 3,587.76 = 2,097 : x
  2. Step 2: Convert to fraction form
    2,388.60/3,587.76 = 2,097/x
  3. Step 3: Cross multiply
    2,388.60x = 3,587.76 × 2,097
  4. Step 4: Simplify right side
    2,388.60x = 7,523,532.72
  5. Step 5: Solve for x
    x = 7,523,532.72/2,388.60
  6. Step 6: Final answer
    x = 3,149.77

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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.