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Finding the Fourth Proportional to 2,707.13, 3,735.93 and 1,658.99

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Solution

The fourth proportional to 2,707.13, 3,735.93 and 1,658.99 is: 2,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.13 : 3,735.93 = 1,658.99 : x
  2. Step 2: Convert to fraction form
    2,707.13/3,735.93 = 1,658.99/x
  3. Step 3: Cross multiply
    2,707.13x = 3,735.93 × 1,658.99
  4. Step 4: Simplify right side
    2,707.13x = 6,197,851.83
  5. Step 5: Solve for x
    x = 6,197,851.83/2,707.13
  6. Step 6: Final answer
    x = 2,289.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.