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Finding the Fourth Proportional to 1,886.05, 2,830.18 and 790.32

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Solution

The fourth proportional to 1,886.05, 2,830.18 and 790.32 is: 1,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.05 : 2,830.18 = 790.32 : x
  2. Step 2: Convert to fraction form
    1,886.05/2,830.18 = 790.32/x
  3. Step 3: Cross multiply
    1,886.05x = 2,830.18 × 790.32
  4. Step 4: Simplify right side
    1,886.05x = 2,236,747.86
  5. Step 5: Solve for x
    x = 2,236,747.86/1,886.05
  6. Step 6: Final answer
    x = 1,185.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.