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Finding the Fourth Proportional to 2,707.13, 4,060.70 and 655.13

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Solution

The fourth proportional to 2,707.13, 4,060.70 and 655.13 is: 982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.13 : 4,060.70 = 655.13 : x
  2. Step 2: Convert to fraction form
    2,707.13/4,060.70 = 655.13/x
  3. Step 3: Cross multiply
    2,707.13x = 4,060.70 × 655.13
  4. Step 4: Simplify right side
    2,707.13x = 2,660,262.81
  5. Step 5: Solve for x
    x = 2,660,262.81/2,707.13
  6. Step 6: Final answer
    x = 982.69

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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.