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Finding the Fourth Proportional to 1,907.51, 2,858.32 and 934.28

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Solution

The fourth proportional to 1,907.51, 2,858.32 and 934.28 is: 1,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.51 : 2,858.32 = 934.28 : x
  2. Step 2: Convert to fraction form
    1,907.51/2,858.32 = 934.28/x
  3. Step 3: Cross multiply
    1,907.51x = 2,858.32 × 934.28
  4. Step 4: Simplify right side
    1,907.51x = 2,670,454.58
  5. Step 5: Solve for x
    x = 2,670,454.58/1,907.51
  6. Step 6: Final answer
    x = 1,399.97

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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.