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Finding the Fourth Proportional to 1,687.12, 2,328.72 and 1,066.48

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Solution

The fourth proportional to 1,687.12, 2,328.72 and 1,066.48 is: 1,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.12 : 2,328.72 = 1,066.48 : x
  2. Step 2: Convert to fraction form
    1,687.12/2,328.72 = 1,066.48/x
  3. Step 3: Cross multiply
    1,687.12x = 2,328.72 × 1,066.48
  4. Step 4: Simplify right side
    1,687.12x = 2,483,533.31
  5. Step 5: Solve for x
    x = 2,483,533.31/1,687.12
  6. Step 6: Final answer
    x = 1,472.05

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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.