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Finding the Fourth Proportional to 3,071.53, 4,609.10 and 1,339.93

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Solution

The fourth proportional to 3,071.53, 4,609.10 and 1,339.93 is: 2,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.53 : 4,609.10 = 1,339.93 : x
  2. Step 2: Convert to fraction form
    3,071.53/4,609.10 = 1,339.93/x
  3. Step 3: Cross multiply
    3,071.53x = 4,609.10 × 1,339.93
  4. Step 4: Simplify right side
    3,071.53x = 6,175,871.36
  5. Step 5: Solve for x
    x = 6,175,871.36/3,071.53
  6. Step 6: Final answer
    x = 2,010.68

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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.