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Finding the Fourth Proportional to 2,969.96, 4,457.64 and 1,410.92

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Solution

The fourth proportional to 2,969.96, 4,457.64 and 1,410.92 is: 2,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.96 : 4,457.64 = 1,410.92 : x
  2. Step 2: Convert to fraction form
    2,969.96/4,457.64 = 1,410.92/x
  3. Step 3: Cross multiply
    2,969.96x = 4,457.64 × 1,410.92
  4. Step 4: Simplify right side
    2,969.96x = 6,289,373.43
  5. Step 5: Solve for x
    x = 6,289,373.43/2,969.96
  6. Step 6: Final answer
    x = 2,117.66

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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.