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Finding the Fourth Proportional to 1,830.67, 2,746.41 and 598.05

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Solution

The fourth proportional to 1,830.67, 2,746.41 and 598.05 is: 897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.67 : 2,746.41 = 598.05 : x
  2. Step 2: Convert to fraction form
    1,830.67/2,746.41 = 598.05/x
  3. Step 3: Cross multiply
    1,830.67x = 2,746.41 × 598.05
  4. Step 4: Simplify right side
    1,830.67x = 1,642,490.50
  5. Step 5: Solve for x
    x = 1,642,490.50/1,830.67
  6. Step 6: Final answer
    x = 897.21

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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.