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Finding the Fourth Proportional to 1,638.26, 2,457.93 and 598.58

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Solution

The fourth proportional to 1,638.26, 2,457.93 and 598.58 is: 898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.26 : 2,457.93 = 598.58 : x
  2. Step 2: Convert to fraction form
    1,638.26/2,457.93 = 598.58/x
  3. Step 3: Cross multiply
    1,638.26x = 2,457.93 × 598.58
  4. Step 4: Simplify right side
    1,638.26x = 1,471,267.74
  5. Step 5: Solve for x
    x = 1,471,267.74/1,638.26
  6. Step 6: Final answer
    x = 898.07

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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.