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Finding the Fourth Proportional to 1,855.48, 2,564.10 and 1,465.60

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Solution

The fourth proportional to 1,855.48, 2,564.10 and 1,465.60 is: 2,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.48 : 2,564.10 = 1,465.60 : x
  2. Step 2: Convert to fraction form
    1,855.48/2,564.10 = 1,465.60/x
  3. Step 3: Cross multiply
    1,855.48x = 2,564.10 × 1,465.60
  4. Step 4: Simplify right side
    1,855.48x = 3,757,944.96
  5. Step 5: Solve for x
    x = 3,757,944.96/1,855.48
  6. Step 6: Final answer
    x = 2,025.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.