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Finding the Fourth Proportional to 1,584.96, 2,378.36 and 719.36

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Solution

The fourth proportional to 1,584.96, 2,378.36 and 719.36 is: 1,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.96 : 2,378.36 = 719.36 : x
  2. Step 2: Convert to fraction form
    1,584.96/2,378.36 = 719.36/x
  3. Step 3: Cross multiply
    1,584.96x = 2,378.36 × 719.36
  4. Step 4: Simplify right side
    1,584.96x = 1,710,897.05
  5. Step 5: Solve for x
    x = 1,710,897.05/1,584.96
  6. Step 6: Final answer
    x = 1,079.46

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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.