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Finding the Fourth Proportional to 2,276.99, 3,416.06 and 716.93

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Solution

The fourth proportional to 2,276.99, 3,416.06 and 716.93 is: 1,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.99 : 3,416.06 = 716.93 : x
  2. Step 2: Convert to fraction form
    2,276.99/3,416.06 = 716.93/x
  3. Step 3: Cross multiply
    2,276.99x = 3,416.06 × 716.93
  4. Step 4: Simplify right side
    2,276.99x = 2,449,055.23
  5. Step 5: Solve for x
    x = 2,449,055.23/2,276.99
  6. Step 6: Final answer
    x = 1,075.57

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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.