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Finding the Fourth Proportional to 1,734.20, 2,598.56 and 637.05

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Solution

The fourth proportional to 1,734.20, 2,598.56 and 637.05 is: 954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.20 : 2,598.56 = 637.05 : x
  2. Step 2: Convert to fraction form
    1,734.20/2,598.56 = 637.05/x
  3. Step 3: Cross multiply
    1,734.20x = 2,598.56 × 637.05
  4. Step 4: Simplify right side
    1,734.20x = 1,655,412.65
  5. Step 5: Solve for x
    x = 1,655,412.65/1,734.20
  6. Step 6: Final answer
    x = 954.57

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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.