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Finding the Fourth Proportional to 1,406.36, 2,109.54 and 366.29

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Solution

The fourth proportional to 1,406.36, 2,109.54 and 366.29 is: 549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.36 : 2,109.54 = 366.29 : x
  2. Step 2: Convert to fraction form
    1,406.36/2,109.54 = 366.29/x
  3. Step 3: Cross multiply
    1,406.36x = 2,109.54 × 366.29
  4. Step 4: Simplify right side
    1,406.36x = 772,703.41
  5. Step 5: Solve for x
    x = 772,703.41/1,406.36
  6. Step 6: Final answer
    x = 549.44

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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.