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Finding the Fourth Proportional to 1,783.26, 2,462.04 and 1,154.07

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Solution

The fourth proportional to 1,783.26, 2,462.04 and 1,154.07 is: 1,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.26 : 2,462.04 = 1,154.07 : x
  2. Step 2: Convert to fraction form
    1,783.26/2,462.04 = 1,154.07/x
  3. Step 3: Cross multiply
    1,783.26x = 2,462.04 × 1,154.07
  4. Step 4: Simplify right side
    1,783.26x = 2,841,366.50
  5. Step 5: Solve for x
    x = 2,841,366.50/1,783.26
  6. Step 6: Final answer
    x = 1,593.36

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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.