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Finding the Fourth Proportional to 1,477.13, 2,037.22 and 886.64

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Solution

The fourth proportional to 1,477.13, 2,037.22 and 886.64 is: 1,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.13 : 2,037.22 = 886.64 : x
  2. Step 2: Convert to fraction form
    1,477.13/2,037.22 = 886.64/x
  3. Step 3: Cross multiply
    1,477.13x = 2,037.22 × 886.64
  4. Step 4: Simplify right side
    1,477.13x = 1,806,268.34
  5. Step 5: Solve for x
    x = 1,806,268.34/1,477.13
  6. Step 6: Final answer
    x = 1,222.83

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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.