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Finding the Fourth Proportional to 2,159.00, 3,238.49 and 598.94

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Solution

The fourth proportional to 2,159.00, 3,238.49 and 598.94 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.00 : 3,238.49 = 598.94 : x
  2. Step 2: Convert to fraction form
    2,159.00/3,238.49 = 598.94/x
  3. Step 3: Cross multiply
    2,159.00x = 3,238.49 × 598.94
  4. Step 4: Simplify right side
    2,159.00x = 1,939,646.51
  5. Step 5: Solve for x
    x = 1,939,646.51/2,159.00
  6. Step 6: Final answer
    x = 898.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.