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Finding the Fourth Proportional to 2,602.48, 3,901.56 and 1,215.08

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Solution

The fourth proportional to 2,602.48, 3,901.56 and 1,215.08 is: 1,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.48 : 3,901.56 = 1,215.08 : x
  2. Step 2: Convert to fraction form
    2,602.48/3,901.56 = 1,215.08/x
  3. Step 3: Cross multiply
    2,602.48x = 3,901.56 × 1,215.08
  4. Step 4: Simplify right side
    2,602.48x = 4,740,707.52
  5. Step 5: Solve for x
    x = 4,740,707.52/2,602.48
  6. Step 6: Final answer
    x = 1,821.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.