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Finding the Fourth Proportional to 2,306.01, 3,459.62 and 1,210.08

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Solution

The fourth proportional to 2,306.01, 3,459.62 and 1,210.08 is: 1,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.01 : 3,459.62 = 1,210.08 : x
  2. Step 2: Convert to fraction form
    2,306.01/3,459.62 = 1,210.08/x
  3. Step 3: Cross multiply
    2,306.01x = 3,459.62 × 1,210.08
  4. Step 4: Simplify right side
    2,306.01x = 4,186,416.97
  5. Step 5: Solve for x
    x = 4,186,416.97/2,306.01
  6. Step 6: Final answer
    x = 1,815.44

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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.