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Finding the Fourth Proportional to 1,830.66, 2,742.51 and 905.13

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Solution

The fourth proportional to 1,830.66, 2,742.51 and 905.13 is: 1,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.66 : 2,742.51 = 905.13 : x
  2. Step 2: Convert to fraction form
    1,830.66/2,742.51 = 905.13/x
  3. Step 3: Cross multiply
    1,830.66x = 2,742.51 × 905.13
  4. Step 4: Simplify right side
    1,830.66x = 2,482,328.08
  5. Step 5: Solve for x
    x = 2,482,328.08/1,830.66
  6. Step 6: Final answer
    x = 1,355.97

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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.