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Finding the Fourth Proportional to 2,860.40, 4,290.92 and 912.16

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Solution

The fourth proportional to 2,860.40, 4,290.92 and 912.16 is: 1,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.40 : 4,290.92 = 912.16 : x
  2. Step 2: Convert to fraction form
    2,860.40/4,290.92 = 912.16/x
  3. Step 3: Cross multiply
    2,860.40x = 4,290.92 × 912.16
  4. Step 4: Simplify right side
    2,860.40x = 3,914,005.59
  5. Step 5: Solve for x
    x = 3,914,005.59/2,860.40
  6. Step 6: Final answer
    x = 1,368.34

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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.