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Finding the Fourth Proportional to 1,340.05, 1,848.04 and 919.66

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Solution

The fourth proportional to 1,340.05, 1,848.04 and 919.66 is: 1,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.05 : 1,848.04 = 919.66 : x
  2. Step 2: Convert to fraction form
    1,340.05/1,848.04 = 919.66/x
  3. Step 3: Cross multiply
    1,340.05x = 1,848.04 × 919.66
  4. Step 4: Simplify right side
    1,340.05x = 1,699,570.79
  5. Step 5: Solve for x
    x = 1,699,570.79/1,340.05
  6. Step 6: Final answer
    x = 1,268.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.