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Finding the Fourth Proportional to 1,762.24, 2,432.80 and 1,680.32

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Solution

The fourth proportional to 1,762.24, 2,432.80 and 1,680.32 is: 2,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.24 : 2,432.80 = 1,680.32 : x
  2. Step 2: Convert to fraction form
    1,762.24/2,432.80 = 1,680.32/x
  3. Step 3: Cross multiply
    1,762.24x = 2,432.80 × 1,680.32
  4. Step 4: Simplify right side
    1,762.24x = 4,087,882.50
  5. Step 5: Solve for x
    x = 4,087,882.50/1,762.24
  6. Step 6: Final answer
    x = 2,319.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.