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Finding the Fourth Proportional to 2,779.92, 4,169.07 and 1,547.91

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Solution

The fourth proportional to 2,779.92, 4,169.07 and 1,547.91 is: 2,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.92 : 4,169.07 = 1,547.91 : x
  2. Step 2: Convert to fraction form
    2,779.92/4,169.07 = 1,547.91/x
  3. Step 3: Cross multiply
    2,779.92x = 4,169.07 × 1,547.91
  4. Step 4: Simplify right side
    2,779.92x = 6,453,345.14
  5. Step 5: Solve for x
    x = 6,453,345.14/2,779.92
  6. Step 6: Final answer
    x = 2,321.41

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1.5x scale

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.