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Finding the Fourth Proportional to 2,199.96, 3,301.02 and 2,075.76

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Solution

The fourth proportional to 2,199.96, 3,301.02 and 2,075.76 is: 3,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.96 : 3,301.02 = 2,075.76 : x
  2. Step 2: Convert to fraction form
    2,199.96/3,301.02 = 2,075.76/x
  3. Step 3: Cross multiply
    2,199.96x = 3,301.02 × 2,075.76
  4. Step 4: Simplify right side
    2,199.96x = 6,852,125.28
  5. Step 5: Solve for x
    x = 6,852,125.28/2,199.96
  6. Step 6: Final answer
    x = 3,114.66

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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.