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Finding the Fourth Proportional to 2,410.86, 3,613.25 and 2,054.46

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Solution

The fourth proportional to 2,410.86, 3,613.25 and 2,054.46 is: 3,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.86 : 3,613.25 = 2,054.46 : x
  2. Step 2: Convert to fraction form
    2,410.86/3,613.25 = 2,054.46/x
  3. Step 3: Cross multiply
    2,410.86x = 3,613.25 × 2,054.46
  4. Step 4: Simplify right side
    2,410.86x = 7,423,267.32
  5. Step 5: Solve for x
    x = 7,423,267.32/2,410.86
  6. Step 6: Final answer
    x = 3,079.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.