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Finding the Fourth Proportional to 3,146.86, 4,342.50 and 1,730.52

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Solution

The fourth proportional to 3,146.86, 4,342.50 and 1,730.52 is: 2,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.86 : 4,342.50 = 1,730.52 : x
  2. Step 2: Convert to fraction form
    3,146.86/4,342.50 = 1,730.52/x
  3. Step 3: Cross multiply
    3,146.86x = 4,342.50 × 1,730.52
  4. Step 4: Simplify right side
    3,146.86x = 7,514,783.10
  5. Step 5: Solve for x
    x = 7,514,783.10/3,146.86
  6. Step 6: Final answer
    x = 2,388.03

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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.