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Finding the Fourth Proportional to 2,507.64, 3,760.68 and 841.44

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Solution

The fourth proportional to 2,507.64, 3,760.68 and 841.44 is: 1,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.64 : 3,760.68 = 841.44 : x
  2. Step 2: Convert to fraction form
    2,507.64/3,760.68 = 841.44/x
  3. Step 3: Cross multiply
    2,507.64x = 3,760.68 × 841.44
  4. Step 4: Simplify right side
    2,507.64x = 3,164,386.58
  5. Step 5: Solve for x
    x = 3,164,386.58/2,507.64
  6. Step 6: Final answer
    x = 1,261.90

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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.