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Finding the Fourth Proportional to 2,859.76, 4,289.60 and 912.10

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Solution

The fourth proportional to 2,859.76, 4,289.60 and 912.10 is: 1,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.76 : 4,289.60 = 912.10 : x
  2. Step 2: Convert to fraction form
    2,859.76/4,289.60 = 912.10/x
  3. Step 3: Cross multiply
    2,859.76x = 4,289.60 × 912.10
  4. Step 4: Simplify right side
    2,859.76x = 3,912,544.16
  5. Step 5: Solve for x
    x = 3,912,544.16/2,859.76
  6. Step 6: Final answer
    x = 1,368.14

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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.