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Finding the Fourth Proportional to 1,779.36, 2,669.76 and 957.12

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Solution

The fourth proportional to 1,779.36, 2,669.76 and 957.12 is: 1,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.36 : 2,669.76 = 957.12 : x
  2. Step 2: Convert to fraction form
    1,779.36/2,669.76 = 957.12/x
  3. Step 3: Cross multiply
    1,779.36x = 2,669.76 × 957.12
  4. Step 4: Simplify right side
    1,779.36x = 2,555,280.69
  5. Step 5: Solve for x
    x = 2,555,280.69/1,779.36
  6. Step 6: Final answer
    x = 1,436.07

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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.