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Finding the Fourth Proportional to 1,769.58, 2,442.15 and 1,023.57

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Solution

The fourth proportional to 1,769.58, 2,442.15 and 1,023.57 is: 1,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.58 : 2,442.15 = 1,023.57 : x
  2. Step 2: Convert to fraction form
    1,769.58/2,442.15 = 1,023.57/x
  3. Step 3: Cross multiply
    1,769.58x = 2,442.15 × 1,023.57
  4. Step 4: Simplify right side
    1,769.58x = 2,499,711.48
  5. Step 5: Solve for x
    x = 2,499,711.48/1,769.58
  6. Step 6: Final answer
    x = 1,412.60

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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.