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Finding the Fourth Proportional to 2,059.40, 3,089.13 and 598.51

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Solution

The fourth proportional to 2,059.40, 3,089.13 and 598.51 is: 897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.40 : 3,089.13 = 598.51 : x
  2. Step 2: Convert to fraction form
    2,059.40/3,089.13 = 598.51/x
  3. Step 3: Cross multiply
    2,059.40x = 3,089.13 × 598.51
  4. Step 4: Simplify right side
    2,059.40x = 1,848,875.20
  5. Step 5: Solve for x
    x = 1,848,875.20/2,059.40
  6. Step 6: Final answer
    x = 897.78

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1.5x scale

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.