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Finding the Fourth Proportional to 1,779.64, 2,666.04 and 1,387.81

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Solution

The fourth proportional to 1,779.64, 2,666.04 and 1,387.81 is: 2,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.64 : 2,666.04 = 1,387.81 : x
  2. Step 2: Convert to fraction form
    1,779.64/2,666.04 = 1,387.81/x
  3. Step 3: Cross multiply
    1,779.64x = 2,666.04 × 1,387.81
  4. Step 4: Simplify right side
    1,779.64x = 3,699,956.97
  5. Step 5: Solve for x
    x = 3,699,956.97/1,779.64
  6. Step 6: Final answer
    x = 2,079.05

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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.