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Finding the Fourth Proportional to 2,710.98, 4,066.59 and 956.22

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Solution

The fourth proportional to 2,710.98, 4,066.59 and 956.22 is: 1,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.98 : 4,066.59 = 956.22 : x
  2. Step 2: Convert to fraction form
    2,710.98/4,066.59 = 956.22/x
  3. Step 3: Cross multiply
    2,710.98x = 4,066.59 × 956.22
  4. Step 4: Simplify right side
    2,710.98x = 3,888,554.69
  5. Step 5: Solve for x
    x = 3,888,554.69/2,710.98
  6. Step 6: Final answer
    x = 1,434.37

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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.