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Finding the Fourth Proportional to 2,643.93, 3,648.65 and 1,465.02

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Solution

The fourth proportional to 2,643.93, 3,648.65 and 1,465.02 is: 2,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.93 : 3,648.65 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    2,643.93/3,648.65 = 1,465.02/x
  3. Step 3: Cross multiply
    2,643.93x = 3,648.65 × 1,465.02
  4. Step 4: Simplify right side
    2,643.93x = 5,345,337.90
  5. Step 5: Solve for x
    x = 5,345,337.90/2,643.93
  6. Step 6: Final answer
    x = 2,021.74

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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.