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Finding the Fourth Proportional to 2,505.76, 3,457.82 and 1,386.66

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Solution

The fourth proportional to 2,505.76, 3,457.82 and 1,386.66 is: 1,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.76 : 3,457.82 = 1,386.66 : x
  2. Step 2: Convert to fraction form
    2,505.76/3,457.82 = 1,386.66/x
  3. Step 3: Cross multiply
    2,505.76x = 3,457.82 × 1,386.66
  4. Step 4: Simplify right side
    2,505.76x = 4,794,820.68
  5. Step 5: Solve for x
    x = 4,794,820.68/2,505.76
  6. Step 6: Final answer
    x = 1,913.52

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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.