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Finding the Fourth Proportional to 2,866.94, 3,957.08 and 1,748.50

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Solution

The fourth proportional to 2,866.94, 3,957.08 and 1,748.50 is: 2,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.94 : 3,957.08 = 1,748.50 : x
  2. Step 2: Convert to fraction form
    2,866.94/3,957.08 = 1,748.50/x
  3. Step 3: Cross multiply
    2,866.94x = 3,957.08 × 1,748.50
  4. Step 4: Simplify right side
    2,866.94x = 6,918,954.38
  5. Step 5: Solve for x
    x = 6,918,954.38/2,866.94
  6. Step 6: Final answer
    x = 2,413.36

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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.