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Finding the Fourth Proportional to 2,656.01, 3,665.39 and 1,461.05

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Solution

The fourth proportional to 2,656.01, 3,665.39 and 1,461.05 is: 2,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.01 : 3,665.39 = 1,461.05 : x
  2. Step 2: Convert to fraction form
    2,656.01/3,665.39 = 1,461.05/x
  3. Step 3: Cross multiply
    2,656.01x = 3,665.39 × 1,461.05
  4. Step 4: Simplify right side
    2,656.01x = 5,355,314.39
  5. Step 5: Solve for x
    x = 5,355,314.39/2,656.01
  6. Step 6: Final answer
    x = 2,016.30

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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.