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Finding the Fourth Proportional to 1,621.34, 2,431.60 and 697.13

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Solution

The fourth proportional to 1,621.34, 2,431.60 and 697.13 is: 1,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.34 : 2,431.60 = 697.13 : x
  2. Step 2: Convert to fraction form
    1,621.34/2,431.60 = 697.13/x
  3. Step 3: Cross multiply
    1,621.34x = 2,431.60 × 697.13
  4. Step 4: Simplify right side
    1,621.34x = 1,695,141.31
  5. Step 5: Solve for x
    x = 1,695,141.31/1,621.34
  6. Step 6: Final answer
    x = 1,045.52

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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.