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Finding the Fourth Proportional to 2,953.84, 4,075.94 and 1,677.63

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Solution

The fourth proportional to 2,953.84, 4,075.94 and 1,677.63 is: 2,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.84 : 4,075.94 = 1,677.63 : x
  2. Step 2: Convert to fraction form
    2,953.84/4,075.94 = 1,677.63/x
  3. Step 3: Cross multiply
    2,953.84x = 4,075.94 × 1,677.63
  4. Step 4: Simplify right side
    2,953.84x = 6,837,919.22
  5. Step 5: Solve for x
    x = 6,837,919.22/2,953.84
  6. Step 6: Final answer
    x = 2,314.93

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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.