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Finding the Fourth Proportional to 2,505.44, 3,457.50 and 1,386.30

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Solution

The fourth proportional to 2,505.44, 3,457.50 and 1,386.30 is: 1,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.44 : 3,457.50 = 1,386.30 : x
  2. Step 2: Convert to fraction form
    2,505.44/3,457.50 = 1,386.30/x
  3. Step 3: Cross multiply
    2,505.44x = 3,457.50 × 1,386.30
  4. Step 4: Simplify right side
    2,505.44x = 4,793,132.25
  5. Step 5: Solve for x
    x = 4,793,132.25/2,505.44
  6. Step 6: Final answer
    x = 1,913.09

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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.