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Finding the Fourth Proportional to 1,594.19, 2,391.17 and 716.69

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Solution

The fourth proportional to 1,594.19, 2,391.17 and 716.69 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.19 : 2,391.17 = 716.69 : x
  2. Step 2: Convert to fraction form
    1,594.19/2,391.17 = 716.69/x
  3. Step 3: Cross multiply
    1,594.19x = 2,391.17 × 716.69
  4. Step 4: Simplify right side
    1,594.19x = 1,713,712.09
  5. Step 5: Solve for x
    x = 1,713,712.09/1,594.19
  6. Step 6: Final answer
    x = 1,074.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.