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Finding the Fourth Proportional to 2,764.77, 4,146.79 and 915.42

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Solution

The fourth proportional to 2,764.77, 4,146.79 and 915.42 is: 1,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.77 : 4,146.79 = 915.42 : x
  2. Step 2: Convert to fraction form
    2,764.77/4,146.79 = 915.42/x
  3. Step 3: Cross multiply
    2,764.77x = 4,146.79 × 915.42
  4. Step 4: Simplify right side
    2,764.77x = 3,796,054.50
  5. Step 5: Solve for x
    x = 3,796,054.50/2,764.77
  6. Step 6: Final answer
    x = 1,373.01

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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.