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Finding the Fourth Proportional to 1,830.92, 2,746.37 and 598.57

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Solution

The fourth proportional to 1,830.92, 2,746.37 and 598.57 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.92 : 2,746.37 = 598.57 : x
  2. Step 2: Convert to fraction form
    1,830.92/2,746.37 = 598.57/x
  3. Step 3: Cross multiply
    1,830.92x = 2,746.37 × 598.57
  4. Step 4: Simplify right side
    1,830.92x = 1,643,889.32
  5. Step 5: Solve for x
    x = 1,643,889.32/1,830.92
  6. Step 6: Final answer
    x = 897.85

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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.