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Finding the Fourth Proportional to 1,476.97, 2,037.02 and 886.93

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Solution

The fourth proportional to 1,476.97, 2,037.02 and 886.93 is: 1,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.97 : 2,037.02 = 886.93 : x
  2. Step 2: Convert to fraction form
    1,476.97/2,037.02 = 886.93/x
  3. Step 3: Cross multiply
    1,476.97x = 2,037.02 × 886.93
  4. Step 4: Simplify right side
    1,476.97x = 1,806,684.62
  5. Step 5: Solve for x
    x = 1,806,684.62/1,476.97
  6. Step 6: Final answer
    x = 1,223.24

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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.