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Finding the Fourth Proportional to 2,505.83, 3,457.98 and 1,457.87

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Solution

The fourth proportional to 2,505.83, 3,457.98 and 1,457.87 is: 2,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.83 : 3,457.98 = 1,457.87 : x
  2. Step 2: Convert to fraction form
    2,505.83/3,457.98 = 1,457.87/x
  3. Step 3: Cross multiply
    2,505.83x = 3,457.98 × 1,457.87
  4. Step 4: Simplify right side
    2,505.83x = 5,041,268.01
  5. Step 5: Solve for x
    x = 5,041,268.01/2,505.83
  6. Step 6: Final answer
    x = 2,011.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.