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Finding the Fourth Proportional to 2,318.96, 3,478.68 and 675.07

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Solution

The fourth proportional to 2,318.96, 3,478.68 and 675.07 is: 1,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.96 : 3,478.68 = 675.07 : x
  2. Step 2: Convert to fraction form
    2,318.96/3,478.68 = 675.07/x
  3. Step 3: Cross multiply
    2,318.96x = 3,478.68 × 675.07
  4. Step 4: Simplify right side
    2,318.96x = 2,348,343.81
  5. Step 5: Solve for x
    x = 2,348,343.81/2,318.96
  6. Step 6: Final answer
    x = 1,012.67

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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.