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Finding the Fourth Proportional to 1,907.45, 2,862.59 and 1,419.02

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Solution

The fourth proportional to 1,907.45, 2,862.59 and 1,419.02 is: 2,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.45 : 2,862.59 = 1,419.02 : x
  2. Step 2: Convert to fraction form
    1,907.45/2,862.59 = 1,419.02/x
  3. Step 3: Cross multiply
    1,907.45x = 2,862.59 × 1,419.02
  4. Step 4: Simplify right side
    1,907.45x = 4,062,051.05
  5. Step 5: Solve for x
    x = 4,062,051.05/1,907.45
  6. Step 6: Final answer
    x = 2,129.58

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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.