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Finding the Fourth Proportional to 2,216.86, 3,058.20 and 1,470.58

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Solution

The fourth proportional to 2,216.86, 3,058.20 and 1,470.58 is: 2,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.86 : 3,058.20 = 1,470.58 : x
  2. Step 2: Convert to fraction form
    2,216.86/3,058.20 = 1,470.58/x
  3. Step 3: Cross multiply
    2,216.86x = 3,058.20 × 1,470.58
  4. Step 4: Simplify right side
    2,216.86x = 4,497,327.76
  5. Step 5: Solve for x
    x = 4,497,327.76/2,216.86
  6. Step 6: Final answer
    x = 2,028.69

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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.