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Finding the Fourth Proportional to 1,513.63, 2,258.14 and 1,372.16

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Solution

The fourth proportional to 1,513.63, 2,258.14 and 1,372.16 is: 2,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.63 : 2,258.14 = 1,372.16 : x
  2. Step 2: Convert to fraction form
    1,513.63/2,258.14 = 1,372.16/x
  3. Step 3: Cross multiply
    1,513.63x = 2,258.14 × 1,372.16
  4. Step 4: Simplify right side
    1,513.63x = 3,098,529.38
  5. Step 5: Solve for x
    x = 3,098,529.38/1,513.63
  6. Step 6: Final answer
    x = 2,047.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.