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Finding the Fourth Proportional to 2,653.98, 3,661.44 and 1,534.71

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Solution

The fourth proportional to 2,653.98, 3,661.44 and 1,534.71 is: 2,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.98 : 3,661.44 = 1,534.71 : x
  2. Step 2: Convert to fraction form
    2,653.98/3,661.44 = 1,534.71/x
  3. Step 3: Cross multiply
    2,653.98x = 3,661.44 × 1,534.71
  4. Step 4: Simplify right side
    2,653.98x = 5,619,248.58
  5. Step 5: Solve for x
    x = 5,619,248.58/2,653.98
  6. Step 6: Final answer
    x = 2,117.29

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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.