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Finding the Fourth Proportional to 2,756.54, 4,133.93 and 907.23

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Solution

The fourth proportional to 2,756.54, 4,133.93 and 907.23 is: 1,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.54 : 4,133.93 = 907.23 : x
  2. Step 2: Convert to fraction form
    2,756.54/4,133.93 = 907.23/x
  3. Step 3: Cross multiply
    2,756.54x = 4,133.93 × 907.23
  4. Step 4: Simplify right side
    2,756.54x = 3,750,413.03
  5. Step 5: Solve for x
    x = 3,750,413.03/2,756.54
  6. Step 6: Final answer
    x = 1,360.55

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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.