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Finding the Fourth Proportional to 1,371.96, 2,058.84 and 1,005.63

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Solution

The fourth proportional to 1,371.96, 2,058.84 and 1,005.63 is: 1,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.96 : 2,058.84 = 1,005.63 : x
  2. Step 2: Convert to fraction form
    1,371.96/2,058.84 = 1,005.63/x
  3. Step 3: Cross multiply
    1,371.96x = 2,058.84 × 1,005.63
  4. Step 4: Simplify right side
    1,371.96x = 2,070,431.27
  5. Step 5: Solve for x
    x = 2,070,431.27/1,371.96
  6. Step 6: Final answer
    x = 1,509.10

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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.