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Finding the Fourth Proportional to 1,779.14, 2,666.81 and 902.29

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Solution

The fourth proportional to 1,779.14, 2,666.81 and 902.29 is: 1,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.14 : 2,666.81 = 902.29 : x
  2. Step 2: Convert to fraction form
    1,779.14/2,666.81 = 902.29/x
  3. Step 3: Cross multiply
    1,779.14x = 2,666.81 × 902.29
  4. Step 4: Simplify right side
    1,779.14x = 2,406,235.32
  5. Step 5: Solve for x
    x = 2,406,235.32/1,779.14
  6. Step 6: Final answer
    x = 1,352.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.