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Finding the Fourth Proportional to 2,505.73, 3,457.95 and 1,386.64

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Solution

The fourth proportional to 2,505.73, 3,457.95 and 1,386.64 is: 1,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.73 : 3,457.95 = 1,386.64 : x
  2. Step 2: Convert to fraction form
    2,505.73/3,457.95 = 1,386.64/x
  3. Step 3: Cross multiply
    2,505.73x = 3,457.95 × 1,386.64
  4. Step 4: Simplify right side
    2,505.73x = 4,794,931.79
  5. Step 5: Solve for x
    x = 4,794,931.79/2,505.73
  6. Step 6: Final answer
    x = 1,913.59

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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.