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Finding the Fourth Proportional to 2,898.63, 4,349.16 and 1,254.33

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Solution

The fourth proportional to 2,898.63, 4,349.16 and 1,254.33 is: 1,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.63 : 4,349.16 = 1,254.33 : x
  2. Step 2: Convert to fraction form
    2,898.63/4,349.16 = 1,254.33/x
  3. Step 3: Cross multiply
    2,898.63x = 4,349.16 × 1,254.33
  4. Step 4: Simplify right side
    2,898.63x = 5,455,281.86
  5. Step 5: Solve for x
    x = 5,455,281.86/2,898.63
  6. Step 6: Final answer
    x = 1,882.02

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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.