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Finding the Fourth Proportional to 1,978.71, 2,726.10 and 1,585.05

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Solution

The fourth proportional to 1,978.71, 2,726.10 and 1,585.05 is: 2,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.71 : 2,726.10 = 1,585.05 : x
  2. Step 2: Convert to fraction form
    1,978.71/2,726.10 = 1,585.05/x
  3. Step 3: Cross multiply
    1,978.71x = 2,726.10 × 1,585.05
  4. Step 4: Simplify right side
    1,978.71x = 4,321,004.81
  5. Step 5: Solve for x
    x = 4,321,004.81/1,978.71
  6. Step 6: Final answer
    x = 2,183.75

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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.