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Finding the Fourth Proportional to 2,160.94, 2,983 and 1,462.72

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Solution

The fourth proportional to 2,160.94, 2,983 and 1,462.72 is: 2,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.94 : 2,983 = 1,462.72 : x
  2. Step 2: Convert to fraction form
    2,160.94/2,983 = 1,462.72/x
  3. Step 3: Cross multiply
    2,160.94x = 2,983 × 1,462.72
  4. Step 4: Simplify right side
    2,160.94x = 4,363,293.76
  5. Step 5: Solve for x
    x = 4,363,293.76/2,160.94
  6. Step 6: Final answer
    x = 2,019.16

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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.