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Finding the Fourth Proportional to 2,646.97, 3,652.96 and 1,468.01

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Solution

The fourth proportional to 2,646.97, 3,652.96 and 1,468.01 is: 2,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.97 : 3,652.96 = 1,468.01 : x
  2. Step 2: Convert to fraction form
    2,646.97/3,652.96 = 1,468.01/x
  3. Step 3: Cross multiply
    2,646.97x = 3,652.96 × 1,468.01
  4. Step 4: Simplify right side
    2,646.97x = 5,362,581.81
  5. Step 5: Solve for x
    x = 5,362,581.81/2,646.97
  6. Step 6: Final answer
    x = 2,025.93

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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.