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Finding the Fourth Proportional to 2,303.61, 3,179 and 1,308.91

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Solution

The fourth proportional to 2,303.61, 3,179 and 1,308.91 is: 1,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.61 : 3,179 = 1,308.91 : x
  2. Step 2: Convert to fraction form
    2,303.61/3,179 = 1,308.91/x
  3. Step 3: Cross multiply
    2,303.61x = 3,179 × 1,308.91
  4. Step 4: Simplify right side
    2,303.61x = 4,161,024.89
  5. Step 5: Solve for x
    x = 4,161,024.89/2,303.61
  6. Step 6: Final answer
    x = 1,806.31

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