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Finding the Fourth Proportional to 2,902.77, 4,354.29 and 1,733.33

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Solution

The fourth proportional to 2,902.77, 4,354.29 and 1,733.33 is: 2,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.77 : 4,354.29 = 1,733.33 : x
  2. Step 2: Convert to fraction form
    2,902.77/4,354.29 = 1,733.33/x
  3. Step 3: Cross multiply
    2,902.77x = 4,354.29 × 1,733.33
  4. Step 4: Simplify right side
    2,902.77x = 7,547,399.71
  5. Step 5: Solve for x
    x = 7,547,399.71/2,902.77
  6. Step 6: Final answer
    x = 2,600.07

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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.