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Finding the Fourth Proportional to 1,773.65, 2,442.35 and 1,734.31

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Solution

The fourth proportional to 1,773.65, 2,442.35 and 1,734.31 is: 2,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.65 : 2,442.35 = 1,734.31 : x
  2. Step 2: Convert to fraction form
    1,773.65/2,442.35 = 1,734.31/x
  3. Step 3: Cross multiply
    1,773.65x = 2,442.35 × 1,734.31
  4. Step 4: Simplify right side
    1,773.65x = 4,235,792.03
  5. Step 5: Solve for x
    x = 4,235,792.03/1,773.65
  6. Step 6: Final answer
    x = 2,388.18

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Why These Related Problems?

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