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Finding the Fourth Proportional to 2,307, 3,459.74 and 919.91

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Solution

The fourth proportional to 2,307, 3,459.74 and 919.91 is: 1,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307 : 3,459.74 = 919.91 : x
  2. Step 2: Convert to fraction form
    2,307/3,459.74 = 919.91/x
  3. Step 3: Cross multiply
    2,307x = 3,459.74 × 919.91
  4. Step 4: Simplify right side
    2,307x = 3,182,627.53
  5. Step 5: Solve for x
    x = 3,182,627.53/2,307
  6. Step 6: Final answer
    x = 1,379.55

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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.