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Finding the Fourth Proportional to 2,708.00, 4,062.91 and 1,830.47

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Solution

The fourth proportional to 2,708.00, 4,062.91 and 1,830.47 is: 2,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.00 : 4,062.91 = 1,830.47 : x
  2. Step 2: Convert to fraction form
    2,708.00/4,062.91 = 1,830.47/x
  3. Step 3: Cross multiply
    2,708.00x = 4,062.91 × 1,830.47
  4. Step 4: Simplify right side
    2,708.00x = 7,437,013.41
  5. Step 5: Solve for x
    x = 7,437,013.41/2,708.00
  6. Step 6: Final answer
    x = 2,746.31

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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.