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Finding the Fourth Proportional to 3,036.26, 4,554.40 and 956.46

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Solution

The fourth proportional to 3,036.26, 4,554.40 and 956.46 is: 1,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.26 : 4,554.40 = 956.46 : x
  2. Step 2: Convert to fraction form
    3,036.26/4,554.40 = 956.46/x
  3. Step 3: Cross multiply
    3,036.26x = 4,554.40 × 956.46
  4. Step 4: Simplify right side
    3,036.26x = 4,356,101.42
  5. Step 5: Solve for x
    x = 4,356,101.42/3,036.26
  6. Step 6: Final answer
    x = 1,434.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.