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Finding the Fourth Proportional to 1,653.58, 2,282.16 and 955

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Solution

The fourth proportional to 1,653.58, 2,282.16 and 955 is: 1,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.58 : 2,282.16 = 955 : x
  2. Step 2: Convert to fraction form
    1,653.58/2,282.16 = 955/x
  3. Step 3: Cross multiply
    1,653.58x = 2,282.16 × 955
  4. Step 4: Simplify right side
    1,653.58x = 2,179,462.80
  5. Step 5: Solve for x
    x = 2,179,462.80/1,653.58
  6. Step 6: Final answer
    x = 1,318.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.