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Finding the Fourth Proportional to 3,215.48, 4,437.15 and 1,798.92

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Solution

The fourth proportional to 3,215.48, 4,437.15 and 1,798.92 is: 2,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.48 : 4,437.15 = 1,798.92 : x
  2. Step 2: Convert to fraction form
    3,215.48/4,437.15 = 1,798.92/x
  3. Step 3: Cross multiply
    3,215.48x = 4,437.15 × 1,798.92
  4. Step 4: Simplify right side
    3,215.48x = 7,982,071.13
  5. Step 5: Solve for x
    x = 7,982,071.13/3,215.48
  6. Step 6: Final answer
    x = 2,482.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.