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Finding the Fourth Proportional to 2,365.49, 3,548.76 and 722.17

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Solution

The fourth proportional to 2,365.49, 3,548.76 and 722.17 is: 1,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.49 : 3,548.76 = 722.17 : x
  2. Step 2: Convert to fraction form
    2,365.49/3,548.76 = 722.17/x
  3. Step 3: Cross multiply
    2,365.49x = 3,548.76 × 722.17
  4. Step 4: Simplify right side
    2,365.49x = 2,562,799.14
  5. Step 5: Solve for x
    x = 2,562,799.14/2,365.49
  6. Step 6: Final answer
    x = 1,083.41

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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.