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Finding the Fourth Proportional to 2,272.64, 3,403.20 and 1,404.32

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Solution

The fourth proportional to 2,272.64, 3,403.20 and 1,404.32 is: 2,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.64 : 3,403.20 = 1,404.32 : x
  2. Step 2: Convert to fraction form
    2,272.64/3,403.20 = 1,404.32/x
  3. Step 3: Cross multiply
    2,272.64x = 3,403.20 × 1,404.32
  4. Step 4: Simplify right side
    2,272.64x = 4,779,181.82
  5. Step 5: Solve for x
    x = 4,779,181.82/2,272.64
  6. Step 6: Final answer
    x = 2,102.92

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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.