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Finding the Fourth Proportional to 1,719.23, 2,580.56 and 795.00

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Solution

The fourth proportional to 1,719.23, 2,580.56 and 795.00 is: 1,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.23 : 2,580.56 = 795.00 : x
  2. Step 2: Convert to fraction form
    1,719.23/2,580.56 = 795.00/x
  3. Step 3: Cross multiply
    1,719.23x = 2,580.56 × 795.00
  4. Step 4: Simplify right side
    1,719.23x = 2,051,539.37
  5. Step 5: Solve for x
    x = 2,051,539.37/1,719.23
  6. Step 6: Final answer
    x = 1,193.29

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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.