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Finding the Fourth Proportional to 1,646.53, 2,460.13 and 1,589.11

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Solution

The fourth proportional to 1,646.53, 2,460.13 and 1,589.11 is: 2,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.53 : 2,460.13 = 1,589.11 : x
  2. Step 2: Convert to fraction form
    1,646.53/2,460.13 = 1,589.11/x
  3. Step 3: Cross multiply
    1,646.53x = 2,460.13 × 1,589.11
  4. Step 4: Simplify right side
    1,646.53x = 3,909,407.06
  5. Step 5: Solve for x
    x = 3,909,407.06/1,646.53
  6. Step 6: Final answer
    x = 2,374.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.