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Finding the Fourth Proportional to 2,051.08, 3,078.45 and 956.06

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Solution

The fourth proportional to 2,051.08, 3,078.45 and 956.06 is: 1,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.08 : 3,078.45 = 956.06 : x
  2. Step 2: Convert to fraction form
    2,051.08/3,078.45 = 956.06/x
  3. Step 3: Cross multiply
    2,051.08x = 3,078.45 × 956.06
  4. Step 4: Simplify right side
    2,051.08x = 2,943,182.91
  5. Step 5: Solve for x
    x = 2,943,182.91/2,051.08
  6. Step 6: Final answer
    x = 1,434.94

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Why These Related Problems?

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