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Finding the Fourth Proportional to 1,734.65, 2,407.93 and 1,625.30

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Solution

The fourth proportional to 1,734.65, 2,407.93 and 1,625.30 is: 2,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.65 : 2,407.93 = 1,625.30 : x
  2. Step 2: Convert to fraction form
    1,734.65/2,407.93 = 1,625.30/x
  3. Step 3: Cross multiply
    1,734.65x = 2,407.93 × 1,625.30
  4. Step 4: Simplify right side
    1,734.65x = 3,913,601.56
  5. Step 5: Solve for x
    x = 3,913,601.56/1,734.65
  6. Step 6: Final answer
    x = 2,256.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.