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Finding the Fourth Proportional to 1,493.53, 2,065.16 and 1,260.35

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Solution

The fourth proportional to 1,493.53, 2,065.16 and 1,260.35 is: 1,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.53 : 2,065.16 = 1,260.35 : x
  2. Step 2: Convert to fraction form
    1,493.53/2,065.16 = 1,260.35/x
  3. Step 3: Cross multiply
    1,493.53x = 2,065.16 × 1,260.35
  4. Step 4: Simplify right side
    1,493.53x = 2,602,824.41
  5. Step 5: Solve for x
    x = 2,602,824.41/1,493.53
  6. Step 6: Final answer
    x = 1,742.73

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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.