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Finding the Fourth Proportional to 2,057.64, 2,838.96 and 1,533.84

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Solution

The fourth proportional to 2,057.64, 2,838.96 and 1,533.84 is: 2,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.64 : 2,838.96 = 1,533.84 : x
  2. Step 2: Convert to fraction form
    2,057.64/2,838.96 = 1,533.84/x
  3. Step 3: Cross multiply
    2,057.64x = 2,838.96 × 1,533.84
  4. Step 4: Simplify right side
    2,057.64x = 4,354,510.41
  5. Step 5: Solve for x
    x = 4,354,510.41/2,057.64
  6. Step 6: Final answer
    x = 2,116.26

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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.