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Finding the Fourth Proportional to 2,470.15, 3,407.83 and 1,421.65

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Solution

The fourth proportional to 2,470.15, 3,407.83 and 1,421.65 is: 1,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.15 : 3,407.83 = 1,421.65 : x
  2. Step 2: Convert to fraction form
    2,470.15/3,407.83 = 1,421.65/x
  3. Step 3: Cross multiply
    2,470.15x = 3,407.83 × 1,421.65
  4. Step 4: Simplify right side
    2,470.15x = 4,844,741.52
  5. Step 5: Solve for x
    x = 4,844,741.52/2,470.15
  6. Step 6: Final answer
    x = 1,961.31

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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.