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Finding the Fourth Proportional to 2,141.81, 2,957.51 and 1,513.72

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Solution

The fourth proportional to 2,141.81, 2,957.51 and 1,513.72 is: 2,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.81 : 2,957.51 = 1,513.72 : x
  2. Step 2: Convert to fraction form
    2,141.81/2,957.51 = 1,513.72/x
  3. Step 3: Cross multiply
    2,141.81x = 2,957.51 × 1,513.72
  4. Step 4: Simplify right side
    2,141.81x = 4,476,849.52
  5. Step 5: Solve for x
    x = 4,476,849.52/2,141.81
  6. Step 6: Final answer
    x = 2,090.22

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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.