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Finding the Fourth Proportional to 1,780.24, 2,670.52 and 684.88

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Solution

The fourth proportional to 1,780.24, 2,670.52 and 684.88 is: 1,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.24 : 2,670.52 = 684.88 : x
  2. Step 2: Convert to fraction form
    1,780.24/2,670.52 = 684.88/x
  3. Step 3: Cross multiply
    1,780.24x = 2,670.52 × 684.88
  4. Step 4: Simplify right side
    1,780.24x = 1,828,985.74
  5. Step 5: Solve for x
    x = 1,828,985.74/1,780.24
  6. Step 6: Final answer
    x = 1,027.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.