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Finding the Fourth Proportional to 2,653.14, 3,661.80 and 1,533.90

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Solution

The fourth proportional to 2,653.14, 3,661.80 and 1,533.90 is: 2,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.14 : 3,661.80 = 1,533.90 : x
  2. Step 2: Convert to fraction form
    2,653.14/3,661.80 = 1,533.90/x
  3. Step 3: Cross multiply
    2,653.14x = 3,661.80 × 1,533.90
  4. Step 4: Simplify right side
    2,653.14x = 5,616,835.02
  5. Step 5: Solve for x
    x = 5,616,835.02/2,653.14
  6. Step 6: Final answer
    x = 2,117.05

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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.