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Finding the Fourth Proportional to 1,461.56, 2,191.08 and 596.48

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Solution

The fourth proportional to 1,461.56, 2,191.08 and 596.48 is: 894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.56 : 2,191.08 = 596.48 : x
  2. Step 2: Convert to fraction form
    1,461.56/2,191.08 = 596.48/x
  3. Step 3: Cross multiply
    1,461.56x = 2,191.08 × 596.48
  4. Step 4: Simplify right side
    1,461.56x = 1,306,935.40
  5. Step 5: Solve for x
    x = 1,306,935.40/1,461.56
  6. Step 6: Final answer
    x = 894.21

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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.