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Finding the Fourth Proportional to 2,159.09, 3,238.20 and 598.70

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Solution

The fourth proportional to 2,159.09, 3,238.20 and 598.70 is: 897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.09 : 3,238.20 = 598.70 : x
  2. Step 2: Convert to fraction form
    2,159.09/3,238.20 = 598.70/x
  3. Step 3: Cross multiply
    2,159.09x = 3,238.20 × 598.70
  4. Step 4: Simplify right side
    2,159.09x = 1,938,710.34
  5. Step 5: Solve for x
    x = 1,938,710.34/2,159.09
  6. Step 6: Final answer
    x = 897.93

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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.