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Finding the Fourth Proportional to 2,104.17, 3,156.25 and 716.84

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Solution

The fourth proportional to 2,104.17, 3,156.25 and 716.84 is: 1,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.17 : 3,156.25 = 716.84 : x
  2. Step 2: Convert to fraction form
    2,104.17/3,156.25 = 716.84/x
  3. Step 3: Cross multiply
    2,104.17x = 3,156.25 × 716.84
  4. Step 4: Simplify right side
    2,104.17x = 2,262,526.25
  5. Step 5: Solve for x
    x = 2,262,526.25/2,104.17
  6. Step 6: Final answer
    x = 1,075.26

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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.