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Finding the Fourth Proportional to 2,365.44, 3,548.68 and 722.11

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Solution

The fourth proportional to 2,365.44, 3,548.68 and 722.11 is: 1,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.44 : 3,548.68 = 722.11 : x
  2. Step 2: Convert to fraction form
    2,365.44/3,548.68 = 722.11/x
  3. Step 3: Cross multiply
    2,365.44x = 3,548.68 × 722.11
  4. Step 4: Simplify right side
    2,365.44x = 2,562,537.31
  5. Step 5: Solve for x
    x = 2,562,537.31/2,365.44
  6. Step 6: Final answer
    x = 1,083.32

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1.5x scale

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.