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Finding the Fourth Proportional to 1,678.79, 2,501.31 and 1,584.47

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Solution

The fourth proportional to 1,678.79, 2,501.31 and 1,584.47 is: 2,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.79 : 2,501.31 = 1,584.47 : x
  2. Step 2: Convert to fraction form
    1,678.79/2,501.31 = 1,584.47/x
  3. Step 3: Cross multiply
    1,678.79x = 2,501.31 × 1,584.47
  4. Step 4: Simplify right side
    1,678.79x = 3,963,241.59
  5. Step 5: Solve for x
    x = 3,963,241.59/1,678.79
  6. Step 6: Final answer
    x = 2,360.78

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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.