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Finding the Fourth Proportional to 2,465.73, 3,409.29 and 2,154.51

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Solution

The fourth proportional to 2,465.73, 3,409.29 and 2,154.51 is: 2,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.73 : 3,409.29 = 2,154.51 : x
  2. Step 2: Convert to fraction form
    2,465.73/3,409.29 = 2,154.51/x
  3. Step 3: Cross multiply
    2,465.73x = 3,409.29 × 2,154.51
  4. Step 4: Simplify right side
    2,465.73x = 7,345,349.40
  5. Step 5: Solve for x
    x = 7,345,349.40/2,465.73
  6. Step 6: Final answer
    x = 2,978.98

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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.