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Finding the Fourth Proportional to 1,457.94, 2,177.92 and 1,311.46

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Solution

The fourth proportional to 1,457.94, 2,177.92 and 1,311.46 is: 1,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.94 : 2,177.92 = 1,311.46 : x
  2. Step 2: Convert to fraction form
    1,457.94/2,177.92 = 1,311.46/x
  3. Step 3: Cross multiply
    1,457.94x = 2,177.92 × 1,311.46
  4. Step 4: Simplify right side
    1,457.94x = 2,856,254.96
  5. Step 5: Solve for x
    x = 2,856,254.96/1,457.94
  6. Step 6: Final answer
    x = 1,959.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.