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Finding the Fourth Proportional to 2,167.50, 2,996.55 and 2,075.70

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Solution

The fourth proportional to 2,167.50, 2,996.55 and 2,075.70 is: 2,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.50 : 2,996.55 = 2,075.70 : x
  2. Step 2: Convert to fraction form
    2,167.50/2,996.55 = 2,075.70/x
  3. Step 3: Cross multiply
    2,167.50x = 2,996.55 × 2,075.70
  4. Step 4: Simplify right side
    2,167.50x = 6,219,938.84
  5. Step 5: Solve for x
    x = 6,219,938.84/2,167.50
  6. Step 6: Final answer
    x = 2,869.64

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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.