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Finding the Fourth Proportional to 1,584.89, 2,376.05 and 661.14

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Solution

The fourth proportional to 1,584.89, 2,376.05 and 661.14 is: 991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.89 : 2,376.05 = 661.14 : x
  2. Step 2: Convert to fraction form
    1,584.89/2,376.05 = 661.14/x
  3. Step 3: Cross multiply
    1,584.89x = 2,376.05 × 661.14
  4. Step 4: Simplify right side
    1,584.89x = 1,570,901.70
  5. Step 5: Solve for x
    x = 1,570,901.70/1,584.89
  6. Step 6: Final answer
    x = 991.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.