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Finding the Fourth Proportional to 2,467.47, 3,701.28 and 907.93

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Solution

The fourth proportional to 2,467.47, 3,701.28 and 907.93 is: 1,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.47 : 3,701.28 = 907.93 : x
  2. Step 2: Convert to fraction form
    2,467.47/3,701.28 = 907.93/x
  3. Step 3: Cross multiply
    2,467.47x = 3,701.28 × 907.93
  4. Step 4: Simplify right side
    2,467.47x = 3,360,503.15
  5. Step 5: Solve for x
    x = 3,360,503.15/2,467.47
  6. Step 6: Final answer
    x = 1,361.92

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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.