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Finding the Fourth Proportional to 1,967.23, 2,950.56 and 580.29

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Solution

The fourth proportional to 1,967.23, 2,950.56 and 580.29 is: 870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.23 : 2,950.56 = 580.29 : x
  2. Step 2: Convert to fraction form
    1,967.23/2,950.56 = 580.29/x
  3. Step 3: Cross multiply
    1,967.23x = 2,950.56 × 580.29
  4. Step 4: Simplify right side
    1,967.23x = 1,712,165.71
  5. Step 5: Solve for x
    x = 1,712,165.71/1,967.23
  6. Step 6: Final answer
    x = 870.34

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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.