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Finding the Fourth Proportional to 2,512.16, 3,464.16 and 2,159.36

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Solution

The fourth proportional to 2,512.16, 3,464.16 and 2,159.36 is: 2,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.16 : 3,464.16 = 2,159.36 : x
  2. Step 2: Convert to fraction form
    2,512.16/3,464.16 = 2,159.36/x
  3. Step 3: Cross multiply
    2,512.16x = 3,464.16 × 2,159.36
  4. Step 4: Simplify right side
    2,512.16x = 7,480,368.54
  5. Step 5: Solve for x
    x = 7,480,368.54/2,512.16
  6. Step 6: Final answer
    x = 2,977.66

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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.