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Finding the Fourth Proportional to 2,752.64, 4,129.44 and 1,657.28

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Solution

The fourth proportional to 2,752.64, 4,129.44 and 1,657.28 is: 2,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.64 : 4,129.44 = 1,657.28 : x
  2. Step 2: Convert to fraction form
    2,752.64/4,129.44 = 1,657.28/x
  3. Step 3: Cross multiply
    2,752.64x = 4,129.44 × 1,657.28
  4. Step 4: Simplify right side
    2,752.64x = 6,843,638.32
  5. Step 5: Solve for x
    x = 6,843,638.32/2,752.64
  6. Step 6: Final answer
    x = 2,486.21

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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.