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Finding the Fourth Proportional to 2,971.60, 4,101.68 and 2,087.64

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Solution

The fourth proportional to 2,971.60, 4,101.68 and 2,087.64 is: 2,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.60 : 4,101.68 = 2,087.64 : x
  2. Step 2: Convert to fraction form
    2,971.60/4,101.68 = 2,087.64/x
  3. Step 3: Cross multiply
    2,971.60x = 4,101.68 × 2,087.64
  4. Step 4: Simplify right side
    2,971.60x = 8,562,831.24
  5. Step 5: Solve for x
    x = 8,562,831.24/2,971.60
  6. Step 6: Final answer
    x = 2,881.56

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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.