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Finding the Fourth Proportional to 2,465.66, 3,400.34 and 2,219.64

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Solution

The fourth proportional to 2,465.66, 3,400.34 and 2,219.64 is: 3,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.66 : 3,400.34 = 2,219.64 : x
  2. Step 2: Convert to fraction form
    2,465.66/3,400.34 = 2,219.64/x
  3. Step 3: Cross multiply
    2,465.66x = 3,400.34 × 2,219.64
  4. Step 4: Simplify right side
    2,465.66x = 7,547,530.68
  5. Step 5: Solve for x
    x = 7,547,530.68/2,465.66
  6. Step 6: Final answer
    x = 3,061.06

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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.