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Finding the Fourth Proportional to 1,858.68, 2,568.96 and 1,465.02

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Solution

The fourth proportional to 1,858.68, 2,568.96 and 1,465.02 is: 2,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.68 : 2,568.96 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    1,858.68/2,568.96 = 1,465.02/x
  3. Step 3: Cross multiply
    1,858.68x = 2,568.96 × 1,465.02
  4. Step 4: Simplify right side
    1,858.68x = 3,763,577.78
  5. Step 5: Solve for x
    x = 3,763,577.78/1,858.68
  6. Step 6: Final answer
    x = 2,024.87

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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.