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Finding the Fourth Proportional to 2,303.46, 3,459.65 and 2,199.78

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Solution

The fourth proportional to 2,303.46, 3,459.65 and 2,199.78 is: 3,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.46 : 3,459.65 = 2,199.78 : x
  2. Step 2: Convert to fraction form
    2,303.46/3,459.65 = 2,199.78/x
  3. Step 3: Cross multiply
    2,303.46x = 3,459.65 × 2,199.78
  4. Step 4: Simplify right side
    2,303.46x = 7,610,457.88
  5. Step 5: Solve for x
    x = 7,610,457.88/2,303.46
  6. Step 6: Final answer
    x = 3,303.92

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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.