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Finding the Fourth Proportional to 1,907.52, 2,863.68 and 1,899.84

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Solution

The fourth proportional to 1,907.52, 2,863.68 and 1,899.84 is: 2,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.52 : 2,863.68 = 1,899.84 : x
  2. Step 2: Convert to fraction form
    1,907.52/2,863.68 = 1,899.84/x
  3. Step 3: Cross multiply
    1,907.52x = 2,863.68 × 1,899.84
  4. Step 4: Simplify right side
    1,907.52x = 5,440,533.81
  5. Step 5: Solve for x
    x = 5,440,533.81/1,907.52
  6. Step 6: Final answer
    x = 2,852.15

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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.