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Finding the Fourth Proportional to 1,748.94, 2,413.50 and 962.94

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Solution

The fourth proportional to 1,748.94, 2,413.50 and 962.94 is: 1,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.94 : 2,413.50 = 962.94 : x
  2. Step 2: Convert to fraction form
    1,748.94/2,413.50 = 962.94/x
  3. Step 3: Cross multiply
    1,748.94x = 2,413.50 × 962.94
  4. Step 4: Simplify right side
    1,748.94x = 2,324,055.69
  5. Step 5: Solve for x
    x = 2,324,055.69/1,748.94
  6. Step 6: Final answer
    x = 1,328.84

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1.5x scale

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.