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Finding the Fourth Proportional to 2,505.76, 3,457.08 and 1,622.05

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Solution

The fourth proportional to 2,505.76, 3,457.08 and 1,622.05 is: 2,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.76 : 3,457.08 = 1,622.05 : x
  2. Step 2: Convert to fraction form
    2,505.76/3,457.08 = 1,622.05/x
  3. Step 3: Cross multiply
    2,505.76x = 3,457.08 × 1,622.05
  4. Step 4: Simplify right side
    2,505.76x = 5,607,547.97
  5. Step 5: Solve for x
    x = 5,607,547.97/2,505.76
  6. Step 6: Final answer
    x = 2,237.87

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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.