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Finding the Fourth Proportional to 2,146.50, 2,953.80 and 2,075.22

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Solution

The fourth proportional to 2,146.50, 2,953.80 and 2,075.22 is: 2,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.50 : 2,953.80 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    2,146.50/2,953.80 = 2,075.22/x
  3. Step 3: Cross multiply
    2,146.50x = 2,953.80 × 2,075.22
  4. Step 4: Simplify right side
    2,146.50x = 6,129,784.84
  5. Step 5: Solve for x
    x = 6,129,784.84/2,146.50
  6. Step 6: Final answer
    x = 2,855.71

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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.