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Finding the Fourth Proportional to 2,365.95, 3,548.91 and 722.49

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Solution

The fourth proportional to 2,365.95, 3,548.91 and 722.49 is: 1,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.95 : 3,548.91 = 722.49 : x
  2. Step 2: Convert to fraction form
    2,365.95/3,548.91 = 722.49/x
  3. Step 3: Cross multiply
    2,365.95x = 3,548.91 × 722.49
  4. Step 4: Simplify right side
    2,365.95x = 2,564,051.99
  5. Step 5: Solve for x
    x = 2,564,051.99/2,365.95
  6. Step 6: Final answer
    x = 1,083.73

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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.