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Finding the Fourth Proportional to 2,433.77, 3,648.86 and 971.81

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Solution

The fourth proportional to 2,433.77, 3,648.86 and 971.81 is: 1,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.77 : 3,648.86 = 971.81 : x
  2. Step 2: Convert to fraction form
    2,433.77/3,648.86 = 971.81/x
  3. Step 3: Cross multiply
    2,433.77x = 3,648.86 × 971.81
  4. Step 4: Simplify right side
    2,433.77x = 3,545,993.78
  5. Step 5: Solve for x
    x = 3,545,993.78/2,433.77
  6. Step 6: Final answer
    x = 1,457.00

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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.