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Finding the Fourth Proportional to 1,830.19, 2,746.06 and 734.31

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Solution

The fourth proportional to 1,830.19, 2,746.06 and 734.31 is: 1,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.19 : 2,746.06 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,830.19/2,746.06 = 734.31/x
  3. Step 3: Cross multiply
    1,830.19x = 2,746.06 × 734.31
  4. Step 4: Simplify right side
    1,830.19x = 2,016,441.92
  5. Step 5: Solve for x
    x = 2,016,441.92/1,830.19
  6. Step 6: Final answer
    x = 1,101.77

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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.