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Finding the Fourth Proportional to 2,369.04, 3,552.96 and 907.76

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Solution

The fourth proportional to 2,369.04, 3,552.96 and 907.76 is: 1,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.04 : 3,552.96 = 907.76 : x
  2. Step 2: Convert to fraction form
    2,369.04/3,552.96 = 907.76/x
  3. Step 3: Cross multiply
    2,369.04x = 3,552.96 × 907.76
  4. Step 4: Simplify right side
    2,369.04x = 3,225,234.97
  5. Step 5: Solve for x
    x = 3,225,234.97/2,369.04
  6. Step 6: Final answer
    x = 1,361.41

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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.