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Finding the Fourth Proportional to 2,779.24, 4,165.62 and 1,237

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Solution

The fourth proportional to 2,779.24, 4,165.62 and 1,237 is: 1,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.24 : 4,165.62 = 1,237 : x
  2. Step 2: Convert to fraction form
    2,779.24/4,165.62 = 1,237/x
  3. Step 3: Cross multiply
    2,779.24x = 4,165.62 × 1,237
  4. Step 4: Simplify right side
    2,779.24x = 5,152,871.94
  5. Step 5: Solve for x
    x = 5,152,871.94/2,779.24
  6. Step 6: Final answer
    x = 1,854.06

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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.