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Finding the Fourth Proportional to 1,740, 2,610 and 714

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Solution

The fourth proportional to 1,740, 2,610 and 714 is: 1,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740 : 2,610 = 714 : x
  2. Step 2: Convert to fraction form
    1,740/2,610 = 714/x
  3. Step 3: Cross multiply
    1,740x = 2,610 × 714
  4. Step 4: Simplify right side
    1,740x = 1,863,540
  5. Step 5: Solve for x
    x = 1,863,540/1,740
  6. Step 6: Final answer
    x = 1,071

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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.