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Finding the Fourth Proportional to 2,157.30, 3,237.36 and 924.96

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Solution

The fourth proportional to 2,157.30, 3,237.36 and 924.96 is: 1,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.30 : 3,237.36 = 924.96 : x
  2. Step 2: Convert to fraction form
    2,157.30/3,237.36 = 924.96/x
  3. Step 3: Cross multiply
    2,157.30x = 3,237.36 × 924.96
  4. Step 4: Simplify right side
    2,157.30x = 2,994,428.51
  5. Step 5: Solve for x
    x = 2,994,428.51/2,157.30
  6. Step 6: Final answer
    x = 1,388.04

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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.