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Finding the Fourth Proportional to 2,106.64, 2,907.08 and 1,175.20

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Solution

The fourth proportional to 2,106.64, 2,907.08 and 1,175.20 is: 1,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.64 : 2,907.08 = 1,175.20 : x
  2. Step 2: Convert to fraction form
    2,106.64/2,907.08 = 1,175.20/x
  3. Step 3: Cross multiply
    2,106.64x = 2,907.08 × 1,175.20
  4. Step 4: Simplify right side
    2,106.64x = 3,416,400.42
  5. Step 5: Solve for x
    x = 3,416,400.42/2,106.64
  6. Step 6: Final answer
    x = 1,621.73

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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.