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Finding the Fourth Proportional to 2,053.96, 2,835.14 and 1,635.08

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Solution

The fourth proportional to 2,053.96, 2,835.14 and 1,635.08 is: 2,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.96 : 2,835.14 = 1,635.08 : x
  2. Step 2: Convert to fraction form
    2,053.96/2,835.14 = 1,635.08/x
  3. Step 3: Cross multiply
    2,053.96x = 2,835.14 × 1,635.08
  4. Step 4: Simplify right side
    2,053.96x = 4,635,680.71
  5. Step 5: Solve for x
    x = 4,635,680.71/2,053.96
  6. Step 6: Final answer
    x = 2,256.95

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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.