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Finding the Fourth Proportional to 3,129.83, 4,319.23 and 1,934.99

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Solution

The fourth proportional to 3,129.83, 4,319.23 and 1,934.99 is: 2,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.83 : 4,319.23 = 1,934.99 : x
  2. Step 2: Convert to fraction form
    3,129.83/4,319.23 = 1,934.99/x
  3. Step 3: Cross multiply
    3,129.83x = 4,319.23 × 1,934.99
  4. Step 4: Simplify right side
    3,129.83x = 8,357,666.86
  5. Step 5: Solve for x
    x = 8,357,666.86/3,129.83
  6. Step 6: Final answer
    x = 2,670.33

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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.