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Finding the Fourth Proportional to 1,907.52, 2,858.70 and 1,213.08

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Solution

The fourth proportional to 1,907.52, 2,858.70 and 1,213.08 is: 1,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.52 : 2,858.70 = 1,213.08 : x
  2. Step 2: Convert to fraction form
    1,907.52/2,858.70 = 1,213.08/x
  3. Step 3: Cross multiply
    1,907.52x = 2,858.70 × 1,213.08
  4. Step 4: Simplify right side
    1,907.52x = 3,467,831.80
  5. Step 5: Solve for x
    x = 3,467,831.80/1,907.52
  6. Step 6: Final answer
    x = 1,817.98

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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.