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Finding the Fourth Proportional to 1,779.90, 2,457.03 and 1,314.30

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Solution

The fourth proportional to 1,779.90, 2,457.03 and 1,314.30 is: 1,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.90 : 2,457.03 = 1,314.30 : x
  2. Step 2: Convert to fraction form
    1,779.90/2,457.03 = 1,314.30/x
  3. Step 3: Cross multiply
    1,779.90x = 2,457.03 × 1,314.30
  4. Step 4: Simplify right side
    1,779.90x = 3,229,274.53
  5. Step 5: Solve for x
    x = 3,229,274.53/1,779.90
  6. Step 6: Final answer
    x = 1,814.30

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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.