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Finding the Fourth Proportional to 1,319.90, 1,822.50 and 1,024.65

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Solution

The fourth proportional to 1,319.90, 1,822.50 and 1,024.65 is: 1,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.90 : 1,822.50 = 1,024.65 : x
  2. Step 2: Convert to fraction form
    1,319.90/1,822.50 = 1,024.65/x
  3. Step 3: Cross multiply
    1,319.90x = 1,822.50 × 1,024.65
  4. Step 4: Simplify right side
    1,319.90x = 1,867,424.63
  5. Step 5: Solve for x
    x = 1,867,424.63/1,319.90
  6. Step 6: Final answer
    x = 1,414.83

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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.