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Finding the Fourth Proportional to 1,886.02, 2,829.72 and 790.30

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Solution

The fourth proportional to 1,886.02, 2,829.72 and 790.30 is: 1,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.02 : 2,829.72 = 790.30 : x
  2. Step 2: Convert to fraction form
    1,886.02/2,829.72 = 790.30/x
  3. Step 3: Cross multiply
    1,886.02x = 2,829.72 × 790.30
  4. Step 4: Simplify right side
    1,886.02x = 2,236,327.72
  5. Step 5: Solve for x
    x = 2,236,327.72/1,886.02
  6. Step 6: Final answer
    x = 1,185.74

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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.