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Finding the Fourth Proportional to 2,356.32, 3,534.40 and 624.96

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Solution

The fourth proportional to 2,356.32, 3,534.40 and 624.96 is: 937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.32 : 3,534.40 = 624.96 : x
  2. Step 2: Convert to fraction form
    2,356.32/3,534.40 = 624.96/x
  3. Step 3: Cross multiply
    2,356.32x = 3,534.40 × 624.96
  4. Step 4: Simplify right side
    2,356.32x = 2,208,858.62
  5. Step 5: Solve for x
    x = 2,208,858.62/2,356.32
  6. Step 6: Final answer
    x = 937.42

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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.