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Finding the Fourth Proportional to 1,830.93, 2,746.74 and 599.20

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Solution

The fourth proportional to 1,830.93, 2,746.74 and 599.20 is: 898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.93 : 2,746.74 = 599.20 : x
  2. Step 2: Convert to fraction form
    1,830.93/2,746.74 = 599.20/x
  3. Step 3: Cross multiply
    1,830.93x = 2,746.74 × 599.20
  4. Step 4: Simplify right side
    1,830.93x = 1,645,854.31
  5. Step 5: Solve for x
    x = 1,645,854.31/1,830.93
  6. Step 6: Final answer
    x = 898.92

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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.