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Finding the Fourth Proportional to 2,106.52, 2,907.06 and 1,175.02

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Solution

The fourth proportional to 2,106.52, 2,907.06 and 1,175.02 is: 1,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.52 : 2,907.06 = 1,175.02 : x
  2. Step 2: Convert to fraction form
    2,106.52/2,907.06 = 1,175.02/x
  3. Step 3: Cross multiply
    2,106.52x = 2,907.06 × 1,175.02
  4. Step 4: Simplify right side
    2,106.52x = 3,415,853.64
  5. Step 5: Solve for x
    x = 3,415,853.64/2,106.52
  6. Step 6: Final answer
    x = 1,621.56

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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.