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Finding the Fourth Proportional to 1,513.72, 2,267.48 and 1,461.56

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Solution

The fourth proportional to 1,513.72, 2,267.48 and 1,461.56 is: 2,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.72 : 2,267.48 = 1,461.56 : x
  2. Step 2: Convert to fraction form
    1,513.72/2,267.48 = 1,461.56/x
  3. Step 3: Cross multiply
    1,513.72x = 2,267.48 × 1,461.56
  4. Step 4: Simplify right side
    1,513.72x = 3,314,058.07
  5. Step 5: Solve for x
    x = 3,314,058.07/1,513.72
  6. Step 6: Final answer
    x = 2,189.35

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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.