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Finding the Fourth Proportional to 1,779.96, 2,457.30 and 1,191.50

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Solution

The fourth proportional to 1,779.96, 2,457.30 and 1,191.50 is: 1,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.96 : 2,457.30 = 1,191.50 : x
  2. Step 2: Convert to fraction form
    1,779.96/2,457.30 = 1,191.50/x
  3. Step 3: Cross multiply
    1,779.96x = 2,457.30 × 1,191.50
  4. Step 4: Simplify right side
    1,779.96x = 2,927,872.95
  5. Step 5: Solve for x
    x = 2,927,872.95/1,779.96
  6. Step 6: Final answer
    x = 1,644.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.