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Finding the Fourth Proportional to 2,354.40, 3,242.16 and 2,157.28

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Solution

The fourth proportional to 2,354.40, 3,242.16 and 2,157.28 is: 2,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.40 : 3,242.16 = 2,157.28 : x
  2. Step 2: Convert to fraction form
    2,354.40/3,242.16 = 2,157.28/x
  3. Step 3: Cross multiply
    2,354.40x = 3,242.16 × 2,157.28
  4. Step 4: Simplify right side
    2,354.40x = 6,994,246.92
  5. Step 5: Solve for x
    x = 6,994,246.92/2,354.40
  6. Step 6: Final answer
    x = 2,970.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.