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Finding the Fourth Proportional to 2,902.68, 4,354.01 and 1,053.79

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Solution

The fourth proportional to 2,902.68, 4,354.01 and 1,053.79 is: 1,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.68 : 4,354.01 = 1,053.79 : x
  2. Step 2: Convert to fraction form
    2,902.68/4,354.01 = 1,053.79/x
  3. Step 3: Cross multiply
    2,902.68x = 4,354.01 × 1,053.79
  4. Step 4: Simplify right side
    2,902.68x = 4,588,193.06
  5. Step 5: Solve for x
    x = 4,588,193.06/2,902.68
  6. Step 6: Final answer
    x = 1,580.68

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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.