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Finding the Fourth Proportional to 2,465.75, 3,409.29 and 2,154.50

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Solution

The fourth proportional to 2,465.75, 3,409.29 and 2,154.50 is: 2,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.75 : 3,409.29 = 2,154.50 : x
  2. Step 2: Convert to fraction form
    2,465.75/3,409.29 = 2,154.50/x
  3. Step 3: Cross multiply
    2,465.75x = 3,409.29 × 2,154.50
  4. Step 4: Simplify right side
    2,465.75x = 7,345,298.26
  5. Step 5: Solve for x
    x = 7,345,298.26/2,465.75
  6. Step 6: Final answer
    x = 2,978.94

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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.