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Finding the Fourth Proportional to 2,966.64, 4,075.62 and 2,655.96

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Solution

The fourth proportional to 2,966.64, 4,075.62 and 2,655.96 is: 3,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.64 : 4,075.62 = 2,655.96 : x
  2. Step 2: Convert to fraction form
    2,966.64/4,075.62 = 2,655.96/x
  3. Step 3: Cross multiply
    2,966.64x = 4,075.62 × 2,655.96
  4. Step 4: Simplify right side
    2,966.64x = 10,824,683.70
  5. Step 5: Solve for x
    x = 10,824,683.70/2,966.64
  6. Step 6: Final answer
    x = 3,648.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.