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Finding the Fourth Proportional to 1,851.68, 2,779.20 and 974.77

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Solution

The fourth proportional to 1,851.68, 2,779.20 and 974.77 is: 1,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.68 : 2,779.20 = 974.77 : x
  2. Step 2: Convert to fraction form
    1,851.68/2,779.20 = 974.77/x
  3. Step 3: Cross multiply
    1,851.68x = 2,779.20 × 974.77
  4. Step 4: Simplify right side
    1,851.68x = 2,709,073.84
  5. Step 5: Solve for x
    x = 2,709,073.84/1,851.68
  6. Step 6: Final answer
    x = 1,463.03

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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.