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Finding the Fourth Proportional to 1,886.14, 2,829.41 and 790.61

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Solution

The fourth proportional to 1,886.14, 2,829.41 and 790.61 is: 1,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.14 : 2,829.41 = 790.61 : x
  2. Step 2: Convert to fraction form
    1,886.14/2,829.41 = 790.61/x
  3. Step 3: Cross multiply
    1,886.14x = 2,829.41 × 790.61
  4. Step 4: Simplify right side
    1,886.14x = 2,236,955.89
  5. Step 5: Solve for x
    x = 2,236,955.89/1,886.14
  6. Step 6: Final answer
    x = 1,186.00

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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.