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Finding the Fourth Proportional to 2,715.12, 4,071.06 and 1,944

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Solution

The fourth proportional to 2,715.12, 4,071.06 and 1,944 is: 2,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.12 : 4,071.06 = 1,944 : x
  2. Step 2: Convert to fraction form
    2,715.12/4,071.06 = 1,944/x
  3. Step 3: Cross multiply
    2,715.12x = 4,071.06 × 1,944
  4. Step 4: Simplify right side
    2,715.12x = 7,914,140.64
  5. Step 5: Solve for x
    x = 7,914,140.64/2,715.12
  6. Step 6: Final answer
    x = 2,914.84

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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.