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Finding the Fourth Proportional to 2,053.64, 2,834.06 and 1,122.12

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Solution

The fourth proportional to 2,053.64, 2,834.06 and 1,122.12 is: 1,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.64 : 2,834.06 = 1,122.12 : x
  2. Step 2: Convert to fraction form
    2,053.64/2,834.06 = 1,122.12/x
  3. Step 3: Cross multiply
    2,053.64x = 2,834.06 × 1,122.12
  4. Step 4: Simplify right side
    2,053.64x = 3,180,155.41
  5. Step 5: Solve for x
    x = 3,180,155.41/2,053.64
  6. Step 6: Final answer
    x = 1,548.55

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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.