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Finding the Fourth Proportional to 1,719.52, 2,580.36 and 1,071.52

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Solution

The fourth proportional to 1,719.52, 2,580.36 and 1,071.52 is: 1,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.52 : 2,580.36 = 1,071.52 : x
  2. Step 2: Convert to fraction form
    1,719.52/2,580.36 = 1,071.52/x
  3. Step 3: Cross multiply
    1,719.52x = 2,580.36 × 1,071.52
  4. Step 4: Simplify right side
    1,719.52x = 2,764,907.35
  5. Step 5: Solve for x
    x = 2,764,907.35/1,719.52
  6. Step 6: Final answer
    x = 1,607.95

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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.