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Finding the Fourth Proportional to 2,457.81, 3,686.46 and 1,141.00

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Solution

The fourth proportional to 2,457.81, 3,686.46 and 1,141.00 is: 1,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.81 : 3,686.46 = 1,141.00 : x
  2. Step 2: Convert to fraction form
    2,457.81/3,686.46 = 1,141.00/x
  3. Step 3: Cross multiply
    2,457.81x = 3,686.46 × 1,141.00
  4. Step 4: Simplify right side
    2,457.81x = 4,206,248.97
  5. Step 5: Solve for x
    x = 4,206,248.97/2,457.81
  6. Step 6: Final answer
    x = 1,711.38

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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.