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Finding the Fourth Proportional to 1,678.52, 2,507.03 and 1,332.25

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Solution

The fourth proportional to 1,678.52, 2,507.03 and 1,332.25 is: 1,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.52 : 2,507.03 = 1,332.25 : x
  2. Step 2: Convert to fraction form
    1,678.52/2,507.03 = 1,332.25/x
  3. Step 3: Cross multiply
    1,678.52x = 2,507.03 × 1,332.25
  4. Step 4: Simplify right side
    1,678.52x = 3,339,990.28
  5. Step 5: Solve for x
    x = 3,339,990.28/1,678.52
  6. Step 6: Final answer
    x = 1,989.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.