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Finding the Fourth Proportional to 1,914.58, 2,641.57 and 1,471.69

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Solution

The fourth proportional to 1,914.58, 2,641.57 and 1,471.69 is: 2,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.58 : 2,641.57 = 1,471.69 : x
  2. Step 2: Convert to fraction form
    1,914.58/2,641.57 = 1,471.69/x
  3. Step 3: Cross multiply
    1,914.58x = 2,641.57 × 1,471.69
  4. Step 4: Simplify right side
    1,914.58x = 3,887,572.15
  5. Step 5: Solve for x
    x = 3,887,572.15/1,914.58
  6. Step 6: Final answer
    x = 2,030.51

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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.