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Finding the Fourth Proportional to 1,886.64, 2,827.12 and 790.72

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Solution

The fourth proportional to 1,886.64, 2,827.12 and 790.72 is: 1,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.64 : 2,827.12 = 790.72 : x
  2. Step 2: Convert to fraction form
    1,886.64/2,827.12 = 790.72/x
  3. Step 3: Cross multiply
    1,886.64x = 2,827.12 × 790.72
  4. Step 4: Simplify right side
    1,886.64x = 2,235,460.33
  5. Step 5: Solve for x
    x = 2,235,460.33/1,886.64
  6. Step 6: Final answer
    x = 1,184.89

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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.